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Finding the Third Proportional to 24,783 and 39,904

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Solution

The third proportional to 24,783 and 39,904 is: 64,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783 : 39,904 = 39,904 : x
  2. Step 2: Convert to fraction form
    24,783/39,904 = 39,904/x
  3. Step 3: Cross multiply
    24,783x = 39,904 × 39,904
  4. Step 4: Simplify right side
    24,783x = 1,592,329,216
  5. Step 5: Solve for x
    x = 1,592,329,216/24,783
  6. Step 6: Final answer
    x = 64,250.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.