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Finding the Third Proportional to 4,948 and 13,354

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Solution

The third proportional to 4,948 and 13,354 is: 36,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948 : 13,354 = 13,354 : x
  2. Step 2: Convert to fraction form
    4,948/13,354 = 13,354/x
  3. Step 3: Cross multiply
    4,948x = 13,354 × 13,354
  4. Step 4: Simplify right side
    4,948x = 178,329,316
  5. Step 5: Solve for x
    x = 178,329,316/4,948
  6. Step 6: Final answer
    x = 36,040.69

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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.