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Finding the Third Proportional to 9,713.36 and 15,044.17

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Solution

The third proportional to 9,713.36 and 15,044.17 is: 23,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.36 : 15,044.17 = 15,044.17 : x
  2. Step 2: Convert to fraction form
    9,713.36/15,044.17 = 15,044.17/x
  3. Step 3: Cross multiply
    9,713.36x = 15,044.17 × 15,044.17
  4. Step 4: Simplify right side
    9,713.36x = 226,326,989.87
  5. Step 5: Solve for x
    x = 226,326,989.87/9,713.36
  6. Step 6: Final answer
    x = 23,300.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.