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Finding the Third Proportional to 24,312 and 36,642

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Solution

The third proportional to 24,312 and 36,642 is: 55,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 36,642 = 36,642 : x
  2. Step 2: Convert to fraction form
    24,312/36,642 = 36,642/x
  3. Step 3: Cross multiply
    24,312x = 36,642 × 36,642
  4. Step 4: Simplify right side
    24,312x = 1,342,636,164
  5. Step 5: Solve for x
    x = 1,342,636,164/24,312
  6. Step 6: Final answer
    x = 55,225.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.