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Finding the Third Proportional to 10,331.69 and 15,457.49

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Solution

The third proportional to 10,331.69 and 15,457.49 is: 23,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.69 : 15,457.49 = 15,457.49 : x
  2. Step 2: Convert to fraction form
    10,331.69/15,457.49 = 15,457.49/x
  3. Step 3: Cross multiply
    10,331.69x = 15,457.49 × 15,457.49
  4. Step 4: Simplify right side
    10,331.69x = 238,934,102.46
  5. Step 5: Solve for x
    x = 238,934,102.46/10,331.69
  6. Step 6: Final answer
    x = 23,126.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.