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Finding the Third Proportional to 24,613 and 37,878

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Solution

The third proportional to 24,613 and 37,878 is: 58,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613 : 37,878 = 37,878 : x
  2. Step 2: Convert to fraction form
    24,613/37,878 = 37,878/x
  3. Step 3: Cross multiply
    24,613x = 37,878 × 37,878
  4. Step 4: Simplify right side
    24,613x = 1,434,742,884
  5. Step 5: Solve for x
    x = 1,434,742,884/24,613
  6. Step 6: Final answer
    x = 58,292.08

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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.