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Finding the Third Proportional to 2,341.25 and 4,898.92

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Solution

The third proportional to 2,341.25 and 4,898.92 is: 10,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.25 : 4,898.92 = 4,898.92 : x
  2. Step 2: Convert to fraction form
    2,341.25/4,898.92 = 4,898.92/x
  3. Step 3: Cross multiply
    2,341.25x = 4,898.92 × 4,898.92
  4. Step 4: Simplify right side
    2,341.25x = 23,999,397.26
  5. Step 5: Solve for x
    x = 23,999,397.26/2,341.25
  6. Step 6: Final answer
    x = 10,250.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.