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Finding the Third Proportional to 2,385 and 4,988.25

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Solution

The third proportional to 2,385 and 4,988.25 is: 10,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385 : 4,988.25 = 4,988.25 : x
  2. Step 2: Convert to fraction form
    2,385/4,988.25 = 4,988.25/x
  3. Step 3: Cross multiply
    2,385x = 4,988.25 × 4,988.25
  4. Step 4: Simplify right side
    2,385x = 24,882,638.06
  5. Step 5: Solve for x
    x = 24,882,638.06/2,385
  6. Step 6: Final answer
    x = 10,432.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.