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Finding the Third Proportional to 1,417.38 and 2,127.63

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Solution

The third proportional to 1,417.38 and 2,127.63 is: 3,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.38 : 2,127.63 = 2,127.63 : x
  2. Step 2: Convert to fraction form
    1,417.38/2,127.63 = 2,127.63/x
  3. Step 3: Cross multiply
    1,417.38x = 2,127.63 × 2,127.63
  4. Step 4: Simplify right side
    1,417.38x = 4,526,788.14
  5. Step 5: Solve for x
    x = 4,526,788.14/1,417.38
  6. Step 6: Final answer
    x = 3,193.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.