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Finding the Third Proportional to 29,376 and 45,522

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Solution

The third proportional to 29,376 and 45,522 is: 70,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,376 : 45,522 = 45,522 : x
  2. Step 2: Convert to fraction form
    29,376/45,522 = 45,522/x
  3. Step 3: Cross multiply
    29,376x = 45,522 × 45,522
  4. Step 4: Simplify right side
    29,376x = 2,072,252,484
  5. Step 5: Solve for x
    x = 2,072,252,484/29,376
  6. Step 6: Final answer
    x = 70,542.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.