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Finding the Third Proportional to 7,916.48 and 17,404.88

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Solution

The third proportional to 7,916.48 and 17,404.88 is: 38,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.48 : 17,404.88 = 17,404.88 : x
  2. Step 2: Convert to fraction form
    7,916.48/17,404.88 = 17,404.88/x
  3. Step 3: Cross multiply
    7,916.48x = 17,404.88 × 17,404.88
  4. Step 4: Simplify right side
    7,916.48x = 302,929,673.77
  5. Step 5: Solve for x
    x = 302,929,673.77/7,916.48
  6. Step 6: Final answer
    x = 38,265.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.