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Finding the Third Proportional to 23,726.25 and 36,014.25

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Solution

The third proportional to 23,726.25 and 36,014.25 is: 54,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.25 : 36,014.25 = 36,014.25 : x
  2. Step 2: Convert to fraction form
    23,726.25/36,014.25 = 36,014.25/x
  3. Step 3: Cross multiply
    23,726.25x = 36,014.25 × 36,014.25
  4. Step 4: Simplify right side
    23,726.25x = 1,297,026,203.06
  5. Step 5: Solve for x
    x = 1,297,026,203.06/23,726.25
  6. Step 6: Final answer
    x = 54,666.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.