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Finding the Third Proportional to 36,095 and 55,784

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Solution

The third proportional to 36,095 and 55,784 is: 86,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,095 : 55,784 = 55,784 : x
  2. Step 2: Convert to fraction form
    36,095/55,784 = 55,784/x
  3. Step 3: Cross multiply
    36,095x = 55,784 × 55,784
  4. Step 4: Simplify right side
    36,095x = 3,111,854,656
  5. Step 5: Solve for x
    x = 3,111,854,656/36,095
  6. Step 6: Final answer
    x = 86,212.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.