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Finding the Third Proportional to 48,809.25 and 66,301.88

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Solution

The third proportional to 48,809.25 and 66,301.88 is: 90,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,809.25 : 66,301.88 = 66,301.88 : x
  2. Step 2: Convert to fraction form
    48,809.25/66,301.88 = 66,301.88/x
  3. Step 3: Cross multiply
    48,809.25x = 66,301.88 × 66,301.88
  4. Step 4: Simplify right side
    48,809.25x = 4,395,938,628.52
  5. Step 5: Solve for x
    x = 4,395,938,628.52/48,809.25
  6. Step 6: Final answer
    x = 90,063.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.