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Finding the Third Proportional to 35,398 and 55,248

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Solution

The third proportional to 35,398 and 55,248 is: 86,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398 : 55,248 = 55,248 : x
  2. Step 2: Convert to fraction form
    35,398/55,248 = 55,248/x
  3. Step 3: Cross multiply
    35,398x = 55,248 × 55,248
  4. Step 4: Simplify right side
    35,398x = 3,052,341,504
  5. Step 5: Solve for x
    x = 3,052,341,504/35,398
  6. Step 6: Final answer
    x = 86,229.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.