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Finding the Third Proportional to 57,489 and 77,254.50

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Solution

The third proportional to 57,489 and 77,254.50 is: 103,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,489 : 77,254.50 = 77,254.50 : x
  2. Step 2: Convert to fraction form
    57,489/77,254.50 = 77,254.50/x
  3. Step 3: Cross multiply
    57,489x = 77,254.50 × 77,254.50
  4. Step 4: Simplify right side
    57,489x = 5,968,257,770.25
  5. Step 5: Solve for x
    x = 5,968,257,770.25/57,489
  6. Step 6: Final answer
    x = 103,815.65

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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.