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Finding the Third Proportional to 1,567.97 and 3,427.45

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Solution

The third proportional to 1,567.97 and 3,427.45 is: 7,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.97 : 3,427.45 = 3,427.45 : x
  2. Step 2: Convert to fraction form
    1,567.97/3,427.45 = 3,427.45/x
  3. Step 3: Cross multiply
    1,567.97x = 3,427.45 × 3,427.45
  4. Step 4: Simplify right side
    1,567.97x = 11,747,434.92
  5. Step 5: Solve for x
    x = 11,747,434.92/1,567.97
  6. Step 6: Final answer
    x = 7,492.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.