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Finding the Third Proportional to 35,984 and 56,334

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Solution

The third proportional to 35,984 and 56,334 is: 88,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984 : 56,334 = 56,334 : x
  2. Step 2: Convert to fraction form
    35,984/56,334 = 56,334/x
  3. Step 3: Cross multiply
    35,984x = 56,334 × 56,334
  4. Step 4: Simplify right side
    35,984x = 3,173,519,556
  5. Step 5: Solve for x
    x = 3,173,519,556/35,984
  6. Step 6: Final answer
    x = 88,192.52

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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.