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Finding the Third Proportional to 7,348 and 11,854

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Solution

The third proportional to 7,348 and 11,854 is: 19,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 11,854 = 11,854 : x
  2. Step 2: Convert to fraction form
    7,348/11,854 = 11,854/x
  3. Step 3: Cross multiply
    7,348x = 11,854 × 11,854
  4. Step 4: Simplify right side
    7,348x = 140,517,316
  5. Step 5: Solve for x
    x = 140,517,316/7,348
  6. Step 6: Final answer
    x = 19,123.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.