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Finding the Third Proportional to 1,419.75 and 1,897.13

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Solution

The third proportional to 1,419.75 and 1,897.13 is: 2,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.75 : 1,897.13 = 1,897.13 : x
  2. Step 2: Convert to fraction form
    1,419.75/1,897.13 = 1,897.13/x
  3. Step 3: Cross multiply
    1,419.75x = 1,897.13 × 1,897.13
  4. Step 4: Simplify right side
    1,419.75x = 3,599,083.27
  5. Step 5: Solve for x
    x = 3,599,083.27/1,419.75
  6. Step 6: Final answer
    x = 2,535.01

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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.