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Finding the Third Proportional to 54,697.50 and 69,886.13

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Solution

The third proportional to 54,697.50 and 69,886.13 is: 89,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.50 : 69,886.13 = 69,886.13 : x
  2. Step 2: Convert to fraction form
    54,697.50/69,886.13 = 69,886.13/x
  3. Step 3: Cross multiply
    54,697.50x = 69,886.13 × 69,886.13
  4. Step 4: Simplify right side
    54,697.50x = 4,884,070,467.52
  5. Step 5: Solve for x
    x = 4,884,070,467.52/54,697.50
  6. Step 6: Final answer
    x = 89,292.39

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.