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Finding the Third Proportional to 5,248.23 and 11,341.90

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Solution

The third proportional to 5,248.23 and 11,341.90 is: 24,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.23 : 11,341.90 = 11,341.90 : x
  2. Step 2: Convert to fraction form
    5,248.23/11,341.90 = 11,341.90/x
  3. Step 3: Cross multiply
    5,248.23x = 11,341.90 × 11,341.90
  4. Step 4: Simplify right side
    5,248.23x = 128,638,660.17
  5. Step 5: Solve for x
    x = 128,638,660.17/5,248.23
  6. Step 6: Final answer
    x = 24,510.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.