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Finding the Third Proportional to 7,514.02 and 17,397.28

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Solution

The third proportional to 7,514.02 and 17,397.28 is: 40,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.02 : 17,397.28 = 17,397.28 : x
  2. Step 2: Convert to fraction form
    7,514.02/17,397.28 = 17,397.28/x
  3. Step 3: Cross multiply
    7,514.02x = 17,397.28 × 17,397.28
  4. Step 4: Simplify right side
    7,514.02x = 302,665,394.89
  5. Step 5: Solve for x
    x = 302,665,394.89/7,514.02
  6. Step 6: Final answer
    x = 40,280.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.