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Finding the Third Proportional to 1,536.47 and 2,319.05

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Solution

The third proportional to 1,536.47 and 2,319.05 is: 3,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.47 : 2,319.05 = 2,319.05 : x
  2. Step 2: Convert to fraction form
    1,536.47/2,319.05 = 2,319.05/x
  3. Step 3: Cross multiply
    1,536.47x = 2,319.05 × 2,319.05
  4. Step 4: Simplify right side
    1,536.47x = 5,377,978.41
  5. Step 5: Solve for x
    x = 5,377,978.41/1,536.47
  6. Step 6: Final answer
    x = 3,500.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.