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Finding the Third Proportional to 35,768 and 56,625

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Solution

The third proportional to 35,768 and 56,625 is: 89,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,768 : 56,625 = 56,625 : x
  2. Step 2: Convert to fraction form
    35,768/56,625 = 56,625/x
  3. Step 3: Cross multiply
    35,768x = 56,625 × 56,625
  4. Step 4: Simplify right side
    35,768x = 3,206,390,625
  5. Step 5: Solve for x
    x = 3,206,390,625/35,768
  6. Step 6: Final answer
    x = 89,644.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.