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Finding the Third Proportional to 5,480 and 7,988

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Solution

The third proportional to 5,480 and 7,988 is: 11,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480 : 7,988 = 7,988 : x
  2. Step 2: Convert to fraction form
    5,480/7,988 = 7,988/x
  3. Step 3: Cross multiply
    5,480x = 7,988 × 7,988
  4. Step 4: Simplify right side
    5,480x = 63,808,144
  5. Step 5: Solve for x
    x = 63,808,144/5,480
  6. Step 6: Final answer
    x = 11,643.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.