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Finding the Third Proportional to 57,577.50 and 88,827

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Solution

The third proportional to 57,577.50 and 88,827 is: 137,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,577.50 : 88,827 = 88,827 : x
  2. Step 2: Convert to fraction form
    57,577.50/88,827 = 88,827/x
  3. Step 3: Cross multiply
    57,577.50x = 88,827 × 88,827
  4. Step 4: Simplify right side
    57,577.50x = 7,890,235,929
  5. Step 5: Solve for x
    x = 7,890,235,929/57,577.50
  6. Step 6: Final answer
    x = 137,036.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.