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Finding the Third Proportional to 1,567.13 and 2,070.56

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Solution

The third proportional to 1,567.13 and 2,070.56 is: 2,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.13 : 2,070.56 = 2,070.56 : x
  2. Step 2: Convert to fraction form
    1,567.13/2,070.56 = 2,070.56/x
  3. Step 3: Cross multiply
    1,567.13x = 2,070.56 × 2,070.56
  4. Step 4: Simplify right side
    1,567.13x = 4,287,229.07
  5. Step 5: Solve for x
    x = 4,287,229.07/1,567.13
  6. Step 6: Final answer
    x = 2,735.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.