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Finding the Third Proportional to 4,797 and 6,934.50

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Solution

The third proportional to 4,797 and 6,934.50 is: 10,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797 : 6,934.50 = 6,934.50 : x
  2. Step 2: Convert to fraction form
    4,797/6,934.50 = 6,934.50/x
  3. Step 3: Cross multiply
    4,797x = 6,934.50 × 6,934.50
  4. Step 4: Simplify right side
    4,797x = 48,087,290.25
  5. Step 5: Solve for x
    x = 48,087,290.25/4,797
  6. Step 6: Final answer
    x = 10,024.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.