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Finding the Third Proportional to 24,924 and 35,549

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Solution

The third proportional to 24,924 and 35,549 is: 50,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 35,549 = 35,549 : x
  2. Step 2: Convert to fraction form
    24,924/35,549 = 35,549/x
  3. Step 3: Cross multiply
    24,924x = 35,549 × 35,549
  4. Step 4: Simplify right side
    24,924x = 1,263,731,401
  5. Step 5: Solve for x
    x = 1,263,731,401/24,924
  6. Step 6: Final answer
    x = 50,703.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.