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Finding the Third Proportional to 55,444.13 and 84,829.13

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Solution

The third proportional to 55,444.13 and 84,829.13 is: 129,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,444.13 : 84,829.13 = 84,829.13 : x
  2. Step 2: Convert to fraction form
    55,444.13/84,829.13 = 84,829.13/x
  3. Step 3: Cross multiply
    55,444.13x = 84,829.13 × 84,829.13
  4. Step 4: Simplify right side
    55,444.13x = 7,195,980,448.27
  5. Step 5: Solve for x
    x = 7,195,980,448.27/55,444.13
  6. Step 6: Final answer
    x = 129,787.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.