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Finding the Third Proportional to 30,577 and 47,259

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Solution

The third proportional to 30,577 and 47,259 is: 73,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577 : 47,259 = 47,259 : x
  2. Step 2: Convert to fraction form
    30,577/47,259 = 47,259/x
  3. Step 3: Cross multiply
    30,577x = 47,259 × 47,259
  4. Step 4: Simplify right side
    30,577x = 2,233,413,081
  5. Step 5: Solve for x
    x = 2,233,413,081/30,577
  6. Step 6: Final answer
    x = 73,042.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.