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Finding the Third Proportional to 13,581 and 28,402

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Solution

The third proportional to 13,581 and 28,402 is: 59,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581 : 28,402 = 28,402 : x
  2. Step 2: Convert to fraction form
    13,581/28,402 = 28,402/x
  3. Step 3: Cross multiply
    13,581x = 28,402 × 28,402
  4. Step 4: Simplify right side
    13,581x = 806,673,604
  5. Step 5: Solve for x
    x = 806,673,604/13,581
  6. Step 6: Final answer
    x = 59,397.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.