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Finding the Third Proportional to 14,948 and 21,124

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Solution

The third proportional to 14,948 and 21,124 is: 29,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948 : 21,124 = 21,124 : x
  2. Step 2: Convert to fraction form
    14,948/21,124 = 21,124/x
  3. Step 3: Cross multiply
    14,948x = 21,124 × 21,124
  4. Step 4: Simplify right side
    14,948x = 446,223,376
  5. Step 5: Solve for x
    x = 446,223,376/14,948
  6. Step 6: Final answer
    x = 29,851.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.