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Finding the Third Proportional to 7,916.91 and 17,403.19

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Solution

The third proportional to 7,916.91 and 17,403.19 is: 38,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.91 : 17,403.19 = 17,403.19 : x
  2. Step 2: Convert to fraction form
    7,916.91/17,403.19 = 17,403.19/x
  3. Step 3: Cross multiply
    7,916.91x = 17,403.19 × 17,403.19
  4. Step 4: Simplify right side
    7,916.91x = 302,870,935.16
  5. Step 5: Solve for x
    x = 302,870,935.16/7,916.91
  6. Step 6: Final answer
    x = 38,256.22

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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.