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Finding the Third Proportional to 34,700.25 and 47,023.50

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Solution

The third proportional to 34,700.25 and 47,023.50 is: 63,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.25 : 47,023.50 = 47,023.50 : x
  2. Step 2: Convert to fraction form
    34,700.25/47,023.50 = 47,023.50/x
  3. Step 3: Cross multiply
    34,700.25x = 47,023.50 × 47,023.50
  4. Step 4: Simplify right side
    34,700.25x = 2,211,209,552.25
  5. Step 5: Solve for x
    x = 2,211,209,552.25/34,700.25
  6. Step 6: Final answer
    x = 63,723.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.