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Finding the Third Proportional to 57,971 and 77,650

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Solution

The third proportional to 57,971 and 77,650 is: 104,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,971 : 77,650 = 77,650 : x
  2. Step 2: Convert to fraction form
    57,971/77,650 = 77,650/x
  3. Step 3: Cross multiply
    57,971x = 77,650 × 77,650
  4. Step 4: Simplify right side
    57,971x = 6,029,522,500
  5. Step 5: Solve for x
    x = 6,029,522,500/57,971
  6. Step 6: Final answer
    x = 104,009.29

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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.