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Finding the Third Proportional to 57,924 and 77,580

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Solution

The third proportional to 57,924 and 77,580 is: 103,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924 : 77,580 = 77,580 : x
  2. Step 2: Convert to fraction form
    57,924/77,580 = 77,580/x
  3. Step 3: Cross multiply
    57,924x = 77,580 × 77,580
  4. Step 4: Simplify right side
    57,924x = 6,018,656,400
  5. Step 5: Solve for x
    x = 6,018,656,400/57,924
  6. Step 6: Final answer
    x = 103,906.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.