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Finding the Third Proportional to 1,039.69 and 1,529.05

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Solution

The third proportional to 1,039.69 and 1,529.05 is: 2,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.69 : 1,529.05 = 1,529.05 : x
  2. Step 2: Convert to fraction form
    1,039.69/1,529.05 = 1,529.05/x
  3. Step 3: Cross multiply
    1,039.69x = 1,529.05 × 1,529.05
  4. Step 4: Simplify right side
    1,039.69x = 2,337,984.35
  5. Step 5: Solve for x
    x = 2,337,984.35/1,039.69
  6. Step 6: Final answer
    x = 2,248.74

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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.