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Finding the Third Proportional to 21,224.25 and 28,722.47

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Solution

The third proportional to 21,224.25 and 28,722.47 is: 38,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.25 : 28,722.47 = 28,722.47 : x
  2. Step 2: Convert to fraction form
    21,224.25/28,722.47 = 28,722.47/x
  3. Step 3: Cross multiply
    21,224.25x = 28,722.47 × 28,722.47
  4. Step 4: Simplify right side
    21,224.25x = 824,980,211.09
  5. Step 5: Solve for x
    x = 824,980,211.09/21,224.25
  6. Step 6: Final answer
    x = 38,869.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.