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Finding the Third Proportional to 47,918.25 and 74,270.25

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Solution

The third proportional to 47,918.25 and 74,270.25 is: 115,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918.25 : 74,270.25 = 74,270.25 : x
  2. Step 2: Convert to fraction form
    47,918.25/74,270.25 = 74,270.25/x
  3. Step 3: Cross multiply
    47,918.25x = 74,270.25 × 74,270.25
  4. Step 4: Simplify right side
    47,918.25x = 5,516,070,035.06
  5. Step 5: Solve for x
    x = 5,516,070,035.06/47,918.25
  6. Step 6: Final answer
    x = 115,114.18

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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.