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Finding the Third Proportional to 7,024.30 and 15,048.04

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Solution

The third proportional to 7,024.30 and 15,048.04 is: 32,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.30 : 15,048.04 = 15,048.04 : x
  2. Step 2: Convert to fraction form
    7,024.30/15,048.04 = 15,048.04/x
  3. Step 3: Cross multiply
    7,024.30x = 15,048.04 × 15,048.04
  4. Step 4: Simplify right side
    7,024.30x = 226,443,626.58
  5. Step 5: Solve for x
    x = 226,443,626.58/7,024.30
  6. Step 6: Final answer
    x = 32,237.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.