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Finding the Third Proportional to 12,473 and 27,332

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Solution

The third proportional to 12,473 and 27,332 is: 59,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473 : 27,332 = 27,332 : x
  2. Step 2: Convert to fraction form
    12,473/27,332 = 27,332/x
  3. Step 3: Cross multiply
    12,473x = 27,332 × 27,332
  4. Step 4: Simplify right side
    12,473x = 747,038,224
  5. Step 5: Solve for x
    x = 747,038,224/12,473
  6. Step 6: Final answer
    x = 59,892.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.