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Finding the Third Proportional to 24,052 and 52,312

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Solution

The third proportional to 24,052 and 52,312 is: 113,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052 : 52,312 = 52,312 : x
  2. Step 2: Convert to fraction form
    24,052/52,312 = 52,312/x
  3. Step 3: Cross multiply
    24,052x = 52,312 × 52,312
  4. Step 4: Simplify right side
    24,052x = 2,736,545,344
  5. Step 5: Solve for x
    x = 2,736,545,344/24,052
  6. Step 6: Final answer
    x = 113,776.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.