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Finding the Third Proportional to 23,987.25 and 52,341.75

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Solution

The third proportional to 23,987.25 and 52,341.75 is: 114,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,987.25 : 52,341.75 = 52,341.75 : x
  2. Step 2: Convert to fraction form
    23,987.25/52,341.75 = 52,341.75/x
  3. Step 3: Cross multiply
    23,987.25x = 52,341.75 × 52,341.75
  4. Step 4: Simplify right side
    23,987.25x = 2,739,658,793.06
  5. Step 5: Solve for x
    x = 2,739,658,793.06/23,987.25
  6. Step 6: Final answer
    x = 114,213.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.