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Finding the Third Proportional to 57,475 and 76,707

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Solution

The third proportional to 57,475 and 76,707 is: 102,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,475 : 76,707 = 76,707 : x
  2. Step 2: Convert to fraction form
    57,475/76,707 = 76,707/x
  3. Step 3: Cross multiply
    57,475x = 76,707 × 76,707
  4. Step 4: Simplify right side
    57,475x = 5,883,963,849
  5. Step 5: Solve for x
    x = 5,883,963,849/57,475
  6. Step 6: Final answer
    x = 102,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.