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Finding the Third Proportional to 10,045.69 and 15,805.13

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Solution

The third proportional to 10,045.69 and 15,805.13 is: 24,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.69 : 15,805.13 = 15,805.13 : x
  2. Step 2: Convert to fraction form
    10,045.69/15,805.13 = 15,805.13/x
  3. Step 3: Cross multiply
    10,045.69x = 15,805.13 × 15,805.13
  4. Step 4: Simplify right side
    10,045.69x = 249,801,976.27
  5. Step 5: Solve for x
    x = 249,801,976.27/10,045.69
  6. Step 6: Final answer
    x = 24,866.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.