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Finding the Third Proportional to 35,199 and 54,507

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Solution

The third proportional to 35,199 and 54,507 is: 84,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,199 : 54,507 = 54,507 : x
  2. Step 2: Convert to fraction form
    35,199/54,507 = 54,507/x
  3. Step 3: Cross multiply
    35,199x = 54,507 × 54,507
  4. Step 4: Simplify right side
    35,199x = 2,971,013,049
  5. Step 5: Solve for x
    x = 2,971,013,049/35,199
  6. Step 6: Final answer
    x = 84,406.18

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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.