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Finding the Third Proportional to 12,529.69 and 21,285.28

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Solution

The third proportional to 12,529.69 and 21,285.28 is: 36,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.69 : 21,285.28 = 21,285.28 : x
  2. Step 2: Convert to fraction form
    12,529.69/21,285.28 = 21,285.28/x
  3. Step 3: Cross multiply
    12,529.69x = 21,285.28 × 21,285.28
  4. Step 4: Simplify right side
    12,529.69x = 453,063,197.89
  5. Step 5: Solve for x
    x = 453,063,197.89/12,529.69
  6. Step 6: Final answer
    x = 36,159.18

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.