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Finding the Third Proportional to 5,752.27 and 9,713.36

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Solution

The third proportional to 5,752.27 and 9,713.36 is: 16,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.27 : 9,713.36 = 9,713.36 : x
  2. Step 2: Convert to fraction form
    5,752.27/9,713.36 = 9,713.36/x
  3. Step 3: Cross multiply
    5,752.27x = 9,713.36 × 9,713.36
  4. Step 4: Simplify right side
    5,752.27x = 94,349,274.46
  5. Step 5: Solve for x
    x = 94,349,274.46/5,752.27
  6. Step 6: Final answer
    x = 16,402.11

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.