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Finding the Third Proportional to 1,567.32 and 2,293.30

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Solution

The third proportional to 1,567.32 and 2,293.30 is: 3,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.32 : 2,293.30 = 2,293.30 : x
  2. Step 2: Convert to fraction form
    1,567.32/2,293.30 = 2,293.30/x
  3. Step 3: Cross multiply
    1,567.32x = 2,293.30 × 2,293.30
  4. Step 4: Simplify right side
    1,567.32x = 5,259,214.20
  5. Step 5: Solve for x
    x = 5,259,214.20/1,567.32
  6. Step 6: Final answer
    x = 3,355.54

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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.