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Finding the Third Proportional to 7,800 and 14,988

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Solution

The third proportional to 7,800 and 14,988 is: 28,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 14,988 = 14,988 : x
  2. Step 2: Convert to fraction form
    7,800/14,988 = 14,988/x
  3. Step 3: Cross multiply
    7,800x = 14,988 × 14,988
  4. Step 4: Simplify right side
    7,800x = 224,640,144
  5. Step 5: Solve for x
    x = 224,640,144/7,800
  6. Step 6: Final answer
    x = 28,800.02

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.