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Finding the Third Proportional to 1,244.53 and 1,897.59

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Solution

The third proportional to 1,244.53 and 1,897.59 is: 2,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.53 : 1,897.59 = 1,897.59 : x
  2. Step 2: Convert to fraction form
    1,244.53/1,897.59 = 1,897.59/x
  3. Step 3: Cross multiply
    1,244.53x = 1,897.59 × 1,897.59
  4. Step 4: Simplify right side
    1,244.53x = 3,600,862.04
  5. Step 5: Solve for x
    x = 3,600,862.04/1,244.53
  6. Step 6: Final answer
    x = 2,893.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.