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Finding the Third Proportional to 24,284 and 37,504

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Solution

The third proportional to 24,284 and 37,504 is: 57,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284 : 37,504 = 37,504 : x
  2. Step 2: Convert to fraction form
    24,284/37,504 = 37,504/x
  3. Step 3: Cross multiply
    24,284x = 37,504 × 37,504
  4. Step 4: Simplify right side
    24,284x = 1,406,550,016
  5. Step 5: Solve for x
    x = 1,406,550,016/24,284
  6. Step 6: Final answer
    x = 57,920.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.