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Finding the Third Proportional to 35,927 and 56,663

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Solution

The third proportional to 35,927 and 56,663 is: 89,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,927 : 56,663 = 56,663 : x
  2. Step 2: Convert to fraction form
    35,927/56,663 = 56,663/x
  3. Step 3: Cross multiply
    35,927x = 56,663 × 56,663
  4. Step 4: Simplify right side
    35,927x = 3,210,695,569
  5. Step 5: Solve for x
    x = 3,210,695,569/35,927
  6. Step 6: Final answer
    x = 89,367.20

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