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Finding the Third Proportional to 7,302.66 and 10,714.78

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Solution

The third proportional to 7,302.66 and 10,714.78 is: 15,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.66 : 10,714.78 = 10,714.78 : x
  2. Step 2: Convert to fraction form
    7,302.66/10,714.78 = 10,714.78/x
  3. Step 3: Cross multiply
    7,302.66x = 10,714.78 × 10,714.78
  4. Step 4: Simplify right side
    7,302.66x = 114,806,537.24
  5. Step 5: Solve for x
    x = 114,806,537.24/7,302.66
  6. Step 6: Final answer
    x = 15,721.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.