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Finding the Third Proportional to 23,294 and 48,865

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Solution

The third proportional to 23,294 and 48,865 is: 102,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294 : 48,865 = 48,865 : x
  2. Step 2: Convert to fraction form
    23,294/48,865 = 48,865/x
  3. Step 3: Cross multiply
    23,294x = 48,865 × 48,865
  4. Step 4: Simplify right side
    23,294x = 2,387,788,225
  5. Step 5: Solve for x
    x = 2,387,788,225/23,294
  6. Step 6: Final answer
    x = 102,506.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.