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Finding the Third Proportional to 24,448.50 and 53,649

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Solution

The third proportional to 24,448.50 and 53,649 is: 117,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.50 : 53,649 = 53,649 : x
  2. Step 2: Convert to fraction form
    24,448.50/53,649 = 53,649/x
  3. Step 3: Cross multiply
    24,448.50x = 53,649 × 53,649
  4. Step 4: Simplify right side
    24,448.50x = 2,878,215,201
  5. Step 5: Solve for x
    x = 2,878,215,201/24,448.50
  6. Step 6: Final answer
    x = 117,725.64

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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.