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Finding the Third Proportional to 4,977 and 7,259

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Solution

The third proportional to 4,977 and 7,259 is: 10,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 7,259 = 7,259 : x
  2. Step 2: Convert to fraction form
    4,977/7,259 = 7,259/x
  3. Step 3: Cross multiply
    4,977x = 7,259 × 7,259
  4. Step 4: Simplify right side
    4,977x = 52,693,081
  5. Step 5: Solve for x
    x = 52,693,081/4,977
  6. Step 6: Final answer
    x = 10,587.32

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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.