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Finding the Third Proportional to 9,347.06 and 13,332.09

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Solution

The third proportional to 9,347.06 and 13,332.09 is: 19,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.06 : 13,332.09 = 13,332.09 : x
  2. Step 2: Convert to fraction form
    9,347.06/13,332.09 = 13,332.09/x
  3. Step 3: Cross multiply
    9,347.06x = 13,332.09 × 13,332.09
  4. Step 4: Simplify right side
    9,347.06x = 177,744,723.76
  5. Step 5: Solve for x
    x = 177,744,723.76/9,347.06
  6. Step 6: Final answer
    x = 19,016.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.