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Finding the Third Proportional to 22,312 and 48,513

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Solution

The third proportional to 22,312 and 48,513 is: 105,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312 : 48,513 = 48,513 : x
  2. Step 2: Convert to fraction form
    22,312/48,513 = 48,513/x
  3. Step 3: Cross multiply
    22,312x = 48,513 × 48,513
  4. Step 4: Simplify right side
    22,312x = 2,353,511,169
  5. Step 5: Solve for x
    x = 2,353,511,169/22,312
  6. Step 6: Final answer
    x = 105,481.86

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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.