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Finding the Third Proportional to 38,562 and 56,627

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Solution

The third proportional to 38,562 and 56,627 is: 83,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562 : 56,627 = 56,627 : x
  2. Step 2: Convert to fraction form
    38,562/56,627 = 56,627/x
  3. Step 3: Cross multiply
    38,562x = 56,627 × 56,627
  4. Step 4: Simplify right side
    38,562x = 3,206,617,129
  5. Step 5: Solve for x
    x = 3,206,617,129/38,562
  6. Step 6: Final answer
    x = 83,154.84

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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.