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Finding the Third Proportional to 57,646.50 and 73,658.25

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Solution

The third proportional to 57,646.50 and 73,658.25 is: 94,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646.50 : 73,658.25 = 73,658.25 : x
  2. Step 2: Convert to fraction form
    57,646.50/73,658.25 = 73,658.25/x
  3. Step 3: Cross multiply
    57,646.50x = 73,658.25 × 73,658.25
  4. Step 4: Simplify right side
    57,646.50x = 5,425,537,793.06
  5. Step 5: Solve for x
    x = 5,425,537,793.06/57,646.50
  6. Step 6: Final answer
    x = 94,117.38

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.