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Finding the Third Proportional to 48,891.50 and 66,023

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Solution

The third proportional to 48,891.50 and 66,023 is: 89,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,891.50 : 66,023 = 66,023 : x
  2. Step 2: Convert to fraction form
    48,891.50/66,023 = 66,023/x
  3. Step 3: Cross multiply
    48,891.50x = 66,023 × 66,023
  4. Step 4: Simplify right side
    48,891.50x = 4,359,036,529
  5. Step 5: Solve for x
    x = 4,359,036,529/48,891.50
  6. Step 6: Final answer
    x = 89,157.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.