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Finding the Third Proportional to 24,987.38 and 53,211.38

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Solution

The third proportional to 24,987.38 and 53,211.38 is: 113,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,987.38 : 53,211.38 = 53,211.38 : x
  2. Step 2: Convert to fraction form
    24,987.38/53,211.38 = 53,211.38/x
  3. Step 3: Cross multiply
    24,987.38x = 53,211.38 × 53,211.38
  4. Step 4: Simplify right side
    24,987.38x = 2,831,450,429.39
  5. Step 5: Solve for x
    x = 2,831,450,429.39/24,987.38
  6. Step 6: Final answer
    x = 113,315.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.