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Finding the Third Proportional to 15,212.25 and 23,443.88

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Solution

The third proportional to 15,212.25 and 23,443.88 is: 36,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.25 : 23,443.88 = 23,443.88 : x
  2. Step 2: Convert to fraction form
    15,212.25/23,443.88 = 23,443.88/x
  3. Step 3: Cross multiply
    15,212.25x = 23,443.88 × 23,443.88
  4. Step 4: Simplify right side
    15,212.25x = 549,615,275.02
  5. Step 5: Solve for x
    x = 549,615,275.02/15,212.25
  6. Step 6: Final answer
    x = 36,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.