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Finding the Third Proportional to 1,053.38 and 1,530.75

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Solution

The third proportional to 1,053.38 and 1,530.75 is: 2,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.38 : 1,530.75 = 1,530.75 : x
  2. Step 2: Convert to fraction form
    1,053.38/1,530.75 = 1,530.75/x
  3. Step 3: Cross multiply
    1,053.38x = 1,530.75 × 1,530.75
  4. Step 4: Simplify right side
    1,053.38x = 2,343,195.56
  5. Step 5: Solve for x
    x = 2,343,195.56/1,053.38
  6. Step 6: Final answer
    x = 2,224.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.