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Finding the Third Proportional to 43,164 and 58,315.50

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Solution

The third proportional to 43,164 and 58,315.50 is: 78,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,164 : 58,315.50 = 58,315.50 : x
  2. Step 2: Convert to fraction form
    43,164/58,315.50 = 58,315.50/x
  3. Step 3: Cross multiply
    43,164x = 58,315.50 × 58,315.50
  4. Step 4: Simplify right side
    43,164x = 3,400,697,540.25
  5. Step 5: Solve for x
    x = 3,400,697,540.25/43,164
  6. Step 6: Final answer
    x = 78,785.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.