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Finding the Third Proportional to 35,218 and 52,643

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Solution

The third proportional to 35,218 and 52,643 is: 78,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218 : 52,643 = 52,643 : x
  2. Step 2: Convert to fraction form
    35,218/52,643 = 52,643/x
  3. Step 3: Cross multiply
    35,218x = 52,643 × 52,643
  4. Step 4: Simplify right side
    35,218x = 2,771,285,449
  5. Step 5: Solve for x
    x = 2,771,285,449/35,218
  6. Step 6: Final answer
    x = 78,689.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.