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Finding the Third Proportional to 36,711 and 58,348.50

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Solution

The third proportional to 36,711 and 58,348.50 is: 92,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,711 : 58,348.50 = 58,348.50 : x
  2. Step 2: Convert to fraction form
    36,711/58,348.50 = 58,348.50/x
  3. Step 3: Cross multiply
    36,711x = 58,348.50 × 58,348.50
  4. Step 4: Simplify right side
    36,711x = 3,404,547,452.25
  5. Step 5: Solve for x
    x = 3,404,547,452.25/36,711
  6. Step 6: Final answer
    x = 92,739.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.