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Finding the Third Proportional to 52,828.88 and 81,928.13

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Solution

The third proportional to 52,828.88 and 81,928.13 is: 127,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828.88 : 81,928.13 = 81,928.13 : x
  2. Step 2: Convert to fraction form
    52,828.88/81,928.13 = 81,928.13/x
  3. Step 3: Cross multiply
    52,828.88x = 81,928.13 × 81,928.13
  4. Step 4: Simplify right side
    52,828.88x = 6,712,217,666.02
  5. Step 5: Solve for x
    x = 6,712,217,666.02/52,828.88
  6. Step 6: Final answer
    x = 127,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.