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Finding the Third Proportional to 1,306.13 and 1,427.63

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Solution

The third proportional to 1,306.13 and 1,427.63 is: 1,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.13 : 1,427.63 = 1,427.63 : x
  2. Step 2: Convert to fraction form
    1,306.13/1,427.63 = 1,427.63/x
  3. Step 3: Cross multiply
    1,306.13x = 1,427.63 × 1,427.63
  4. Step 4: Simplify right side
    1,306.13x = 2,038,113.14
  5. Step 5: Solve for x
    x = 2,038,113.14/1,306.13
  6. Step 6: Final answer
    x = 1,560.43

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.