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Finding the Third Proportional to 29,892 and 64,392

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Solution

The third proportional to 29,892 and 64,392 is: 138,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892 : 64,392 = 64,392 : x
  2. Step 2: Convert to fraction form
    29,892/64,392 = 64,392/x
  3. Step 3: Cross multiply
    29,892x = 64,392 × 64,392
  4. Step 4: Simplify right side
    29,892x = 4,146,329,664
  5. Step 5: Solve for x
    x = 4,146,329,664/29,892
  6. Step 6: Final answer
    x = 138,710.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.