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Finding the Third Proportional to 35,987 and 56,328

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Solution

The third proportional to 35,987 and 56,328 is: 88,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,987 : 56,328 = 56,328 : x
  2. Step 2: Convert to fraction form
    35,987/56,328 = 56,328/x
  3. Step 3: Cross multiply
    35,987x = 56,328 × 56,328
  4. Step 4: Simplify right side
    35,987x = 3,172,843,584
  5. Step 5: Solve for x
    x = 3,172,843,584/35,987
  6. Step 6: Final answer
    x = 88,166.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.