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Finding the Third Proportional to 870.61 and 1,862.72

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Solution

The third proportional to 870.61 and 1,862.72 is: 3,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.61 : 1,862.72 = 1,862.72 : x
  2. Step 2: Convert to fraction form
    870.61/1,862.72 = 1,862.72/x
  3. Step 3: Cross multiply
    870.61x = 1,862.72 × 1,862.72
  4. Step 4: Simplify right side
    870.61x = 3,469,721.14
  5. Step 5: Solve for x
    x = 3,469,721.14/870.61
  6. Step 6: Final answer
    x = 3,985.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.