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Finding the Third Proportional to 24,111.84 and 36,987.47

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Solution

The third proportional to 24,111.84 and 36,987.47 is: 56,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,111.84 : 36,987.47 = 36,987.47 : x
  2. Step 2: Convert to fraction form
    24,111.84/36,987.47 = 36,987.47/x
  3. Step 3: Cross multiply
    24,111.84x = 36,987.47 × 36,987.47
  4. Step 4: Simplify right side
    24,111.84x = 1,368,072,844.53
  5. Step 5: Solve for x
    x = 1,368,072,844.53/24,111.84
  6. Step 6: Final answer
    x = 56,738.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.