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Finding the Third Proportional to 11,117.25 and 24,315.19

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Solution

The third proportional to 11,117.25 and 24,315.19 is: 53,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.25 : 24,315.19 = 24,315.19 : x
  2. Step 2: Convert to fraction form
    11,117.25/24,315.19 = 24,315.19/x
  3. Step 3: Cross multiply
    11,117.25x = 24,315.19 × 24,315.19
  4. Step 4: Simplify right side
    11,117.25x = 591,228,343.16
  5. Step 5: Solve for x
    x = 591,228,343.16/11,117.25
  6. Step 6: Final answer
    x = 53,181.17

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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.