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Finding the Third Proportional to 7,726.64 and 16,643.60

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Solution

The third proportional to 7,726.64 and 16,643.60 is: 35,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.64 : 16,643.60 = 16,643.60 : x
  2. Step 2: Convert to fraction form
    7,726.64/16,643.60 = 16,643.60/x
  3. Step 3: Cross multiply
    7,726.64x = 16,643.60 × 16,643.60
  4. Step 4: Simplify right side
    7,726.64x = 277,009,472.97
  5. Step 5: Solve for x
    x = 277,009,472.97/7,726.64
  6. Step 6: Final answer
    x = 35,851.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.