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Finding the Third Proportional to 35,784 and 55,719

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Solution

The third proportional to 35,784 and 55,719 is: 86,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784 : 55,719 = 55,719 : x
  2. Step 2: Convert to fraction form
    35,784/55,719 = 55,719/x
  3. Step 3: Cross multiply
    35,784x = 55,719 × 55,719
  4. Step 4: Simplify right side
    35,784x = 3,104,606,961
  5. Step 5: Solve for x
    x = 3,104,606,961/35,784
  6. Step 6: Final answer
    x = 86,759.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.