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Finding the Third Proportional to 9,713.06 and 21,182.81

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Solution

The third proportional to 9,713.06 and 21,182.81 is: 46,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.06 : 21,182.81 = 21,182.81 : x
  2. Step 2: Convert to fraction form
    9,713.06/21,182.81 = 21,182.81/x
  3. Step 3: Cross multiply
    9,713.06x = 21,182.81 × 21,182.81
  4. Step 4: Simplify right side
    9,713.06x = 448,711,545.41
  5. Step 5: Solve for x
    x = 448,711,545.41/9,713.06
  6. Step 6: Final answer
    x = 46,196.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.