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Finding the Third Proportional to 43,065 and 57,763.13

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Solution

The third proportional to 43,065 and 57,763.13 is: 77,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,065 : 57,763.13 = 57,763.13 : x
  2. Step 2: Convert to fraction form
    43,065/57,763.13 = 57,763.13/x
  3. Step 3: Cross multiply
    43,065x = 57,763.13 × 57,763.13
  4. Step 4: Simplify right side
    43,065x = 3,336,578,609.77
  5. Step 5: Solve for x
    x = 3,336,578,609.77/43,065
  6. Step 6: Final answer
    x = 77,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.