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Finding the Third Proportional to 15,094.27 and 22,180.08

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Solution

The third proportional to 15,094.27 and 22,180.08 is: 32,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.27 : 22,180.08 = 22,180.08 : x
  2. Step 2: Convert to fraction form
    15,094.27/22,180.08 = 22,180.08/x
  3. Step 3: Cross multiply
    15,094.27x = 22,180.08 × 22,180.08
  4. Step 4: Simplify right side
    15,094.27x = 491,955,865.63
  5. Step 5: Solve for x
    x = 491,955,865.63/15,094.27
  6. Step 6: Final answer
    x = 32,592.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.