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Finding the Third Proportional to 15,283.69 and 24,315.19

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Solution

The third proportional to 15,283.69 and 24,315.19 is: 38,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.69 : 24,315.19 = 24,315.19 : x
  2. Step 2: Convert to fraction form
    15,283.69/24,315.19 = 24,315.19/x
  3. Step 3: Cross multiply
    15,283.69x = 24,315.19 × 24,315.19
  4. Step 4: Simplify right side
    15,283.69x = 591,228,343.16
  5. Step 5: Solve for x
    x = 591,228,343.16/15,283.69
  6. Step 6: Final answer
    x = 38,683.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.