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Finding the Third Proportional to 15,916.50 and 33,468.19

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Solution

The third proportional to 15,916.50 and 33,468.19 is: 70,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.50 : 33,468.19 = 33,468.19 : x
  2. Step 2: Convert to fraction form
    15,916.50/33,468.19 = 33,468.19/x
  3. Step 3: Cross multiply
    15,916.50x = 33,468.19 × 33,468.19
  4. Step 4: Simplify right side
    15,916.50x = 1,120,119,574.54
  5. Step 5: Solve for x
    x = 1,120,119,574.54/15,916.50
  6. Step 6: Final answer
    x = 70,374.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.