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Finding the Third Proportional to 35,652 and 56,502

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Solution

The third proportional to 35,652 and 56,502 is: 89,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652 : 56,502 = 56,502 : x
  2. Step 2: Convert to fraction form
    35,652/56,502 = 56,502/x
  3. Step 3: Cross multiply
    35,652x = 56,502 × 56,502
  4. Step 4: Simplify right side
    35,652x = 3,192,476,004
  5. Step 5: Solve for x
    x = 3,192,476,004/35,652
  6. Step 6: Final answer
    x = 89,545.50

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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.