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Finding the Third Proportional to 38,862 and 57,472.13

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Solution

The third proportional to 38,862 and 57,472.13 is: 84,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 57,472.13 = 57,472.13 : x
  2. Step 2: Convert to fraction form
    38,862/57,472.13 = 57,472.13/x
  3. Step 3: Cross multiply
    38,862x = 57,472.13 × 57,472.13
  4. Step 4: Simplify right side
    38,862x = 3,303,045,152.02
  5. Step 5: Solve for x
    x = 3,303,045,152.02/38,862
  6. Step 6: Final answer
    x = 84,994.21

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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.