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Finding the Third Proportional to 2,125.13 and 4,573.13

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Solution

The third proportional to 2,125.13 and 4,573.13 is: 9,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.13 : 4,573.13 = 4,573.13 : x
  2. Step 2: Convert to fraction form
    2,125.13/4,573.13 = 4,573.13/x
  3. Step 3: Cross multiply
    2,125.13x = 4,573.13 × 4,573.13
  4. Step 4: Simplify right side
    2,125.13x = 20,913,472.27
  5. Step 5: Solve for x
    x = 20,913,472.27/2,125.13
  6. Step 6: Final answer
    x = 9,841.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.