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Finding the Third Proportional to 36,512 and 58,784

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Solution

The third proportional to 36,512 and 58,784 is: 94,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512 : 58,784 = 58,784 : x
  2. Step 2: Convert to fraction form
    36,512/58,784 = 58,784/x
  3. Step 3: Cross multiply
    36,512x = 58,784 × 58,784
  4. Step 4: Simplify right side
    36,512x = 3,455,558,656
  5. Step 5: Solve for x
    x = 3,455,558,656/36,512
  6. Step 6: Final answer
    x = 94,641.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.