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Finding the Third Proportional to 48,354.75 and 74,720.25

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Solution

The third proportional to 48,354.75 and 74,720.25 is: 115,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354.75 : 74,720.25 = 74,720.25 : x
  2. Step 2: Convert to fraction form
    48,354.75/74,720.25 = 74,720.25/x
  3. Step 3: Cross multiply
    48,354.75x = 74,720.25 × 74,720.25
  4. Step 4: Simplify right side
    48,354.75x = 5,583,115,760.06
  5. Step 5: Solve for x
    x = 5,583,115,760.06/48,354.75
  6. Step 6: Final answer
    x = 115,461.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.