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Finding the Third Proportional to 38,405 and 56,352

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Solution

The third proportional to 38,405 and 56,352 is: 82,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405 : 56,352 = 56,352 : x
  2. Step 2: Convert to fraction form
    38,405/56,352 = 56,352/x
  3. Step 3: Cross multiply
    38,405x = 56,352 × 56,352
  4. Step 4: Simplify right side
    38,405x = 3,175,547,904
  5. Step 5: Solve for x
    x = 3,175,547,904/38,405
  6. Step 6: Final answer
    x = 82,685.79

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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.