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Finding the Third Proportional to 34,051.50 and 47,674.25

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Solution

The third proportional to 34,051.50 and 47,674.25 is: 66,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.50 : 47,674.25 = 47,674.25 : x
  2. Step 2: Convert to fraction form
    34,051.50/47,674.25 = 47,674.25/x
  3. Step 3: Cross multiply
    34,051.50x = 47,674.25 × 47,674.25
  4. Step 4: Simplify right side
    34,051.50x = 2,272,834,113.06
  5. Step 5: Solve for x
    x = 2,272,834,113.06/34,051.50
  6. Step 6: Final answer
    x = 66,746.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.