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Finding the Third Proportional to 1,897 and 4,033

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Solution

The third proportional to 1,897 and 4,033 is: 8,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 4,033 = 4,033 : x
  2. Step 2: Convert to fraction form
    1,897/4,033 = 4,033/x
  3. Step 3: Cross multiply
    1,897x = 4,033 × 4,033
  4. Step 4: Simplify right side
    1,897x = 16,265,089
  5. Step 5: Solve for x
    x = 16,265,089/1,897
  6. Step 6: Final answer
    x = 8,574.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.