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Finding the Third Proportional to 56,710.13 and 68,313.38

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Solution

The third proportional to 56,710.13 and 68,313.38 is: 82,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710.13 : 68,313.38 = 68,313.38 : x
  2. Step 2: Convert to fraction form
    56,710.13/68,313.38 = 68,313.38/x
  3. Step 3: Cross multiply
    56,710.13x = 68,313.38 × 68,313.38
  4. Step 4: Simplify right side
    56,710.13x = 4,666,717,203.89
  5. Step 5: Solve for x
    x = 4,666,717,203.89/56,710.13
  6. Step 6: Final answer
    x = 82,290.72

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.