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Finding the Third Proportional to 870.50 and 1,906.13

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Solution

The third proportional to 870.50 and 1,906.13 is: 4,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.50 : 1,906.13 = 1,906.13 : x
  2. Step 2: Convert to fraction form
    870.50/1,906.13 = 1,906.13/x
  3. Step 3: Cross multiply
    870.50x = 1,906.13 × 1,906.13
  4. Step 4: Simplify right side
    870.50x = 3,633,312.52
  5. Step 5: Solve for x
    x = 3,633,312.52/870.50
  6. Step 6: Final answer
    x = 4,173.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.