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Finding the Third Proportional to 35,460 and 52,489

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Solution

The third proportional to 35,460 and 52,489 is: 77,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,460 : 52,489 = 52,489 : x
  2. Step 2: Convert to fraction form
    35,460/52,489 = 52,489/x
  3. Step 3: Cross multiply
    35,460x = 52,489 × 52,489
  4. Step 4: Simplify right side
    35,460x = 2,755,095,121
  5. Step 5: Solve for x
    x = 2,755,095,121/35,460
  6. Step 6: Final answer
    x = 77,695.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.