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Finding the Third Proportional to 22,812.47 and 30,515.06

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Solution

The third proportional to 22,812.47 and 30,515.06 is: 40,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.47 : 30,515.06 = 30,515.06 : x
  2. Step 2: Convert to fraction form
    22,812.47/30,515.06 = 30,515.06/x
  3. Step 3: Cross multiply
    22,812.47x = 30,515.06 × 30,515.06
  4. Step 4: Simplify right side
    22,812.47x = 931,169,039.38
  5. Step 5: Solve for x
    x = 931,169,039.38/22,812.47
  6. Step 6: Final answer
    x = 40,818.42

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.