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Finding the Third Proportional to 1,044.91 and 1,530.26

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Solution

The third proportional to 1,044.91 and 1,530.26 is: 2,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.91 : 1,530.26 = 1,530.26 : x
  2. Step 2: Convert to fraction form
    1,044.91/1,530.26 = 1,530.26/x
  3. Step 3: Cross multiply
    1,044.91x = 1,530.26 × 1,530.26
  4. Step 4: Simplify right side
    1,044.91x = 2,341,693.46
  5. Step 5: Solve for x
    x = 2,341,693.46/1,044.91
  6. Step 6: Final answer
    x = 2,241.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.