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Finding the Third Proportional to 34,567 and 53,470.50

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Solution

The third proportional to 34,567 and 53,470.50 is: 82,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,567 : 53,470.50 = 53,470.50 : x
  2. Step 2: Convert to fraction form
    34,567/53,470.50 = 53,470.50/x
  3. Step 3: Cross multiply
    34,567x = 53,470.50 × 53,470.50
  4. Step 4: Simplify right side
    34,567x = 2,859,094,370.25
  5. Step 5: Solve for x
    x = 2,859,094,370.25/34,567
  6. Step 6: Final answer
    x = 82,711.67

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