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Finding the Third Proportional to 16,726.50 and 26,907.19

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Solution

The third proportional to 16,726.50 and 26,907.19 is: 43,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726.50 : 26,907.19 = 26,907.19 : x
  2. Step 2: Convert to fraction form
    16,726.50/26,907.19 = 26,907.19/x
  3. Step 3: Cross multiply
    16,726.50x = 26,907.19 × 26,907.19
  4. Step 4: Simplify right side
    16,726.50x = 723,996,739.16
  5. Step 5: Solve for x
    x = 723,996,739.16/16,726.50
  6. Step 6: Final answer
    x = 43,284.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.