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Finding the Third Proportional to 57,327.75 and 77,848.88

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Solution

The third proportional to 57,327.75 and 77,848.88 is: 105,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327.75 : 77,848.88 = 77,848.88 : x
  2. Step 2: Convert to fraction form
    57,327.75/77,848.88 = 77,848.88/x
  3. Step 3: Cross multiply
    57,327.75x = 77,848.88 × 77,848.88
  4. Step 4: Simplify right side
    57,327.75x = 6,060,447,338.77
  5. Step 5: Solve for x
    x = 6,060,447,338.77/57,327.75
  6. Step 6: Final answer
    x = 105,715.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.