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Finding the Third Proportional to 35,078 and 52,657

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Solution

The third proportional to 35,078 and 52,657 is: 79,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,078 : 52,657 = 52,657 : x
  2. Step 2: Convert to fraction form
    35,078/52,657 = 52,657/x
  3. Step 3: Cross multiply
    35,078x = 52,657 × 52,657
  4. Step 4: Simplify right side
    35,078x = 2,772,759,649
  5. Step 5: Solve for x
    x = 2,772,759,649/35,078
  6. Step 6: Final answer
    x = 79,045.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.