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Finding the Third Proportional to 8,916.75 and 19,374.19

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Solution

The third proportional to 8,916.75 and 19,374.19 is: 42,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.75 : 19,374.19 = 19,374.19 : x
  2. Step 2: Convert to fraction form
    8,916.75/19,374.19 = 19,374.19/x
  3. Step 3: Cross multiply
    8,916.75x = 19,374.19 × 19,374.19
  4. Step 4: Simplify right side
    8,916.75x = 375,359,141.29
  5. Step 5: Solve for x
    x = 375,359,141.29/8,916.75
  6. Step 6: Final answer
    x = 42,095.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.