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Finding the Third Proportional to 7,880 and 14,496

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Solution

The third proportional to 7,880 and 14,496 is: 26,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 14,496 = 14,496 : x
  2. Step 2: Convert to fraction form
    7,880/14,496 = 14,496/x
  3. Step 3: Cross multiply
    7,880x = 14,496 × 14,496
  4. Step 4: Simplify right side
    7,880x = 210,134,016
  5. Step 5: Solve for x
    x = 210,134,016/7,880
  6. Step 6: Final answer
    x = 26,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.