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Finding the Third Proportional to 10,225.41 and 15,001.03

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Solution

The third proportional to 10,225.41 and 15,001.03 is: 22,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.41 : 15,001.03 = 15,001.03 : x
  2. Step 2: Convert to fraction form
    10,225.41/15,001.03 = 15,001.03/x
  3. Step 3: Cross multiply
    10,225.41x = 15,001.03 × 15,001.03
  4. Step 4: Simplify right side
    10,225.41x = 225,030,938.56
  5. Step 5: Solve for x
    x = 225,030,938.56/10,225.41
  6. Step 6: Final answer
    x = 22,007.04

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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.