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Finding the Third Proportional to 1,425.74 and 1,907.14

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Solution

The third proportional to 1,425.74 and 1,907.14 is: 2,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.74 : 1,907.14 = 1,907.14 : x
  2. Step 2: Convert to fraction form
    1,425.74/1,907.14 = 1,907.14/x
  3. Step 3: Cross multiply
    1,425.74x = 1,907.14 × 1,907.14
  4. Step 4: Simplify right side
    1,425.74x = 3,637,177.91
  5. Step 5: Solve for x
    x = 3,637,177.91/1,425.74
  6. Step 6: Final answer
    x = 2,551.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.