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Finding the Third Proportional to 8,429.63 and 13,024.69

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Solution

The third proportional to 8,429.63 and 13,024.69 is: 20,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.63 : 13,024.69 = 13,024.69 : x
  2. Step 2: Convert to fraction form
    8,429.63/13,024.69 = 13,024.69/x
  3. Step 3: Cross multiply
    8,429.63x = 13,024.69 × 13,024.69
  4. Step 4: Simplify right side
    8,429.63x = 169,642,484.47
  5. Step 5: Solve for x
    x = 169,642,484.47/8,429.63
  6. Step 6: Final answer
    x = 20,124.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.