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Finding the Third Proportional to 23,604 and 37,518

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Solution

The third proportional to 23,604 and 37,518 is: 59,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604 : 37,518 = 37,518 : x
  2. Step 2: Convert to fraction form
    23,604/37,518 = 37,518/x
  3. Step 3: Cross multiply
    23,604x = 37,518 × 37,518
  4. Step 4: Simplify right side
    23,604x = 1,407,600,324
  5. Step 5: Solve for x
    x = 1,407,600,324/23,604
  6. Step 6: Final answer
    x = 59,633.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.