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Finding the Third Proportional to 54,280.13 and 70,029.56

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Solution

The third proportional to 54,280.13 and 70,029.56 is: 90,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,280.13 : 70,029.56 = 70,029.56 : x
  2. Step 2: Convert to fraction form
    54,280.13/70,029.56 = 70,029.56/x
  3. Step 3: Cross multiply
    54,280.13x = 70,029.56 × 70,029.56
  4. Step 4: Simplify right side
    54,280.13x = 4,904,139,623.94
  5. Step 5: Solve for x
    x = 4,904,139,623.94/54,280.13
  6. Step 6: Final answer
    x = 90,348.72

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.