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Finding the Third Proportional to 7,382 and 13,960

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Solution

The third proportional to 7,382 and 13,960 is: 26,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382 : 13,960 = 13,960 : x
  2. Step 2: Convert to fraction form
    7,382/13,960 = 13,960/x
  3. Step 3: Cross multiply
    7,382x = 13,960 × 13,960
  4. Step 4: Simplify right side
    7,382x = 194,881,600
  5. Step 5: Solve for x
    x = 194,881,600/7,382
  6. Step 6: Final answer
    x = 26,399.57

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.