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Finding the Third Proportional to 77,324.88 and 85,465.38

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Solution

The third proportional to 77,324.88 and 85,465.38 is: 94,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.88 : 85,465.38 = 85,465.38 : x
  2. Step 2: Convert to fraction form
    77,324.88/85,465.38 = 85,465.38/x
  3. Step 3: Cross multiply
    77,324.88x = 85,465.38 × 85,465.38
  4. Step 4: Simplify right side
    77,324.88x = 7,304,330,323.89
  5. Step 5: Solve for x
    x = 7,304,330,323.89/77,324.88
  6. Step 6: Final answer
    x = 94,462.88

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.