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Finding the Third Proportional to 47,817 and 60,466.50

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Solution

The third proportional to 47,817 and 60,466.50 is: 76,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817 : 60,466.50 = 60,466.50 : x
  2. Step 2: Convert to fraction form
    47,817/60,466.50 = 60,466.50/x
  3. Step 3: Cross multiply
    47,817x = 60,466.50 × 60,466.50
  4. Step 4: Simplify right side
    47,817x = 3,656,197,622.25
  5. Step 5: Solve for x
    x = 3,656,197,622.25/47,817
  6. Step 6: Final answer
    x = 76,462.30

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.