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Finding the Third Proportional to 77,324.63 and 85,465.13

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Solution

The third proportional to 77,324.63 and 85,465.13 is: 94,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.63 : 85,465.13 = 85,465.13 : x
  2. Step 2: Convert to fraction form
    77,324.63/85,465.13 = 85,465.13/x
  3. Step 3: Cross multiply
    77,324.63x = 85,465.13 × 85,465.13
  4. Step 4: Simplify right side
    77,324.63x = 7,304,287,591.27
  5. Step 5: Solve for x
    x = 7,304,287,591.27/77,324.63
  6. Step 6: Final answer
    x = 94,462.63

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Why These Related Problems?

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