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Finding the Third Proportional to 15,577 and 23,407

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Solution

The third proportional to 15,577 and 23,407 is: 35,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577 : 23,407 = 23,407 : x
  2. Step 2: Convert to fraction form
    15,577/23,407 = 23,407/x
  3. Step 3: Cross multiply
    15,577x = 23,407 × 23,407
  4. Step 4: Simplify right side
    15,577x = 547,887,649
  5. Step 5: Solve for x
    x = 547,887,649/15,577
  6. Step 6: Final answer
    x = 35,172.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.