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Finding the Third Proportional to 54,747 and 71,887.50

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Solution

The third proportional to 54,747 and 71,887.50 is: 94,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747 : 71,887.50 = 71,887.50 : x
  2. Step 2: Convert to fraction form
    54,747/71,887.50 = 71,887.50/x
  3. Step 3: Cross multiply
    54,747x = 71,887.50 × 71,887.50
  4. Step 4: Simplify right side
    54,747x = 5,167,812,656.25
  5. Step 5: Solve for x
    x = 5,167,812,656.25/54,747
  6. Step 6: Final answer
    x = 94,394.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.