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Finding the Third Proportional to 35,664 and 53,420

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Solution

The third proportional to 35,664 and 53,420 is: 80,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,664 : 53,420 = 53,420 : x
  2. Step 2: Convert to fraction form
    35,664/53,420 = 53,420/x
  3. Step 3: Cross multiply
    35,664x = 53,420 × 53,420
  4. Step 4: Simplify right side
    35,664x = 2,853,696,400
  5. Step 5: Solve for x
    x = 2,853,696,400/35,664
  6. Step 6: Final answer
    x = 80,016.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.