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Finding the Third Proportional to 1,948 and 5,262

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Solution

The third proportional to 1,948 and 5,262 is: 14,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948 : 5,262 = 5,262 : x
  2. Step 2: Convert to fraction form
    1,948/5,262 = 5,262/x
  3. Step 3: Cross multiply
    1,948x = 5,262 × 5,262
  4. Step 4: Simplify right side
    1,948x = 27,688,644
  5. Step 5: Solve for x
    x = 27,688,644/1,948
  6. Step 6: Final answer
    x = 14,213.88

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.