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Finding the Third Proportional to 10,351.13 and 15,526.69

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Solution

The third proportional to 10,351.13 and 15,526.69 is: 23,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.13 : 15,526.69 = 15,526.69 : x
  2. Step 2: Convert to fraction form
    10,351.13/15,526.69 = 15,526.69/x
  3. Step 3: Cross multiply
    10,351.13x = 15,526.69 × 15,526.69
  4. Step 4: Simplify right side
    10,351.13x = 241,078,024.72
  5. Step 5: Solve for x
    x = 241,078,024.72/10,351.13
  6. Step 6: Final answer
    x = 23,290.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.