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Finding the Third Proportional to 10,461 and 15,124

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Solution

The third proportional to 10,461 and 15,124 is: 21,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 15,124 = 15,124 : x
  2. Step 2: Convert to fraction form
    10,461/15,124 = 15,124/x
  3. Step 3: Cross multiply
    10,461x = 15,124 × 15,124
  4. Step 4: Simplify right side
    10,461x = 228,735,376
  5. Step 5: Solve for x
    x = 228,735,376/10,461
  6. Step 6: Final answer
    x = 21,865.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.