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Finding the Third Proportional to 54,691.75 and 82,038.50

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Solution

The third proportional to 54,691.75 and 82,038.50 is: 123,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.75 : 82,038.50 = 82,038.50 : x
  2. Step 2: Convert to fraction form
    54,691.75/82,038.50 = 82,038.50/x
  3. Step 3: Cross multiply
    54,691.75x = 82,038.50 × 82,038.50
  4. Step 4: Simplify right side
    54,691.75x = 6,730,315,482.25
  5. Step 5: Solve for x
    x = 6,730,315,482.25/54,691.75
  6. Step 6: Final answer
    x = 123,059.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.