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Finding the Third Proportional to 38,726 and 57,370

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Solution

The third proportional to 38,726 and 57,370 is: 84,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,726 : 57,370 = 57,370 : x
  2. Step 2: Convert to fraction form
    38,726/57,370 = 57,370/x
  3. Step 3: Cross multiply
    38,726x = 57,370 × 57,370
  4. Step 4: Simplify right side
    38,726x = 3,291,316,900
  5. Step 5: Solve for x
    x = 3,291,316,900/38,726
  6. Step 6: Final answer
    x = 84,989.85

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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.