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Finding the Third Proportional to 898.76 and 1,922.47

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Solution

The third proportional to 898.76 and 1,922.47 is: 4,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.76 : 1,922.47 = 1,922.47 : x
  2. Step 2: Convert to fraction form
    898.76/1,922.47 = 1,922.47/x
  3. Step 3: Cross multiply
    898.76x = 1,922.47 × 1,922.47
  4. Step 4: Simplify right side
    898.76x = 3,695,901.11
  5. Step 5: Solve for x
    x = 3,695,901.11/898.76
  6. Step 6: Final answer
    x = 4,112.21

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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.