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Finding the Third Proportional to 21,718.13 and 34,976.81

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Solution

The third proportional to 21,718.13 and 34,976.81 is: 56,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.13 : 34,976.81 = 34,976.81 : x
  2. Step 2: Convert to fraction form
    21,718.13/34,976.81 = 34,976.81/x
  3. Step 3: Cross multiply
    21,718.13x = 34,976.81 × 34,976.81
  4. Step 4: Simplify right side
    21,718.13x = 1,223,377,412.66
  5. Step 5: Solve for x
    x = 1,223,377,412.66/21,718.13
  6. Step 6: Final answer
    x = 56,329.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.