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Finding the Third Proportional to 38,598 and 56,809

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Solution

The third proportional to 38,598 and 56,809 is: 83,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598 : 56,809 = 56,809 : x
  2. Step 2: Convert to fraction form
    38,598/56,809 = 56,809/x
  3. Step 3: Cross multiply
    38,598x = 56,809 × 56,809
  4. Step 4: Simplify right side
    38,598x = 3,227,262,481
  5. Step 5: Solve for x
    x = 3,227,262,481/38,598
  6. Step 6: Final answer
    x = 83,612.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.