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Finding the Third Proportional to 16,239 and 24,358

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Solution

The third proportional to 16,239 and 24,358 is: 36,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239 : 24,358 = 24,358 : x
  2. Step 2: Convert to fraction form
    16,239/24,358 = 24,358/x
  3. Step 3: Cross multiply
    16,239x = 24,358 × 24,358
  4. Step 4: Simplify right side
    16,239x = 593,312,164
  5. Step 5: Solve for x
    x = 593,312,164/16,239
  6. Step 6: Final answer
    x = 36,536.25

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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.