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Finding the Third Proportional to 9,849.09 and 15,138.14

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Solution

The third proportional to 9,849.09 and 15,138.14 is: 23,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.09 : 15,138.14 = 15,138.14 : x
  2. Step 2: Convert to fraction form
    9,849.09/15,138.14 = 15,138.14/x
  3. Step 3: Cross multiply
    9,849.09x = 15,138.14 × 15,138.14
  4. Step 4: Simplify right side
    9,849.09x = 229,163,301.58
  5. Step 5: Solve for x
    x = 229,163,301.58/9,849.09
  6. Step 6: Final answer
    x = 23,267.45

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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.