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Finding the Third Proportional to 47,538.77 and 64,032.40

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Solution

The third proportional to 47,538.77 and 64,032.40 is: 86,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538.77 : 64,032.40 = 64,032.40 : x
  2. Step 2: Convert to fraction form
    47,538.77/64,032.40 = 64,032.40/x
  3. Step 3: Cross multiply
    47,538.77x = 64,032.40 × 64,032.40
  4. Step 4: Simplify right side
    47,538.77x = 4,100,148,049.66
  5. Step 5: Solve for x
    x = 4,100,148,049.66/47,538.77
  6. Step 6: Final answer
    x = 86,248.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.