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Finding the Third Proportional to 35,248 and 54,808

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Solution

The third proportional to 35,248 and 54,808 is: 85,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,248 : 54,808 = 54,808 : x
  2. Step 2: Convert to fraction form
    35,248/54,808 = 54,808/x
  3. Step 3: Cross multiply
    35,248x = 54,808 × 54,808
  4. Step 4: Simplify right side
    35,248x = 3,003,916,864
  5. Step 5: Solve for x
    x = 3,003,916,864/35,248
  6. Step 6: Final answer
    x = 85,222.33

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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.