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Finding the Third Proportional to 65,712.52 and 72,000.14

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Solution

The third proportional to 65,712.52 and 72,000.14 is: 78,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.52 : 72,000.14 = 72,000.14 : x
  2. Step 2: Convert to fraction form
    65,712.52/72,000.14 = 72,000.14/x
  3. Step 3: Cross multiply
    65,712.52x = 72,000.14 × 72,000.14
  4. Step 4: Simplify right side
    65,712.52x = 5,184,020,250.02
  5. Step 5: Solve for x
    x = 5,184,020,250.02/65,712.52
  6. Step 6: Final answer
    x = 78,889.39

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.