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Finding the Third Proportional to 35,502 and 48,069

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Solution

The third proportional to 35,502 and 48,069 is: 65,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,502 : 48,069 = 48,069 : x
  2. Step 2: Convert to fraction form
    35,502/48,069 = 48,069/x
  3. Step 3: Cross multiply
    35,502x = 48,069 × 48,069
  4. Step 4: Simplify right side
    35,502x = 2,310,628,761
  5. Step 5: Solve for x
    x = 2,310,628,761/35,502
  6. Step 6: Final answer
    x = 65,084.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.