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Finding the Third Proportional to 16,348 and 24,574

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Solution

The third proportional to 16,348 and 24,574 is: 36,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348 : 24,574 = 24,574 : x
  2. Step 2: Convert to fraction form
    16,348/24,574 = 24,574/x
  3. Step 3: Cross multiply
    16,348x = 24,574 × 24,574
  4. Step 4: Simplify right side
    16,348x = 603,881,476
  5. Step 5: Solve for x
    x = 603,881,476/16,348
  6. Step 6: Final answer
    x = 36,939.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.