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Finding the Third Proportional to 34,645.50 and 55,795.50

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Solution

The third proportional to 34,645.50 and 55,795.50 is: 89,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645.50 : 55,795.50 = 55,795.50 : x
  2. Step 2: Convert to fraction form
    34,645.50/55,795.50 = 55,795.50/x
  3. Step 3: Cross multiply
    34,645.50x = 55,795.50 × 55,795.50
  4. Step 4: Simplify right side
    34,645.50x = 3,113,137,820.25
  5. Step 5: Solve for x
    x = 3,113,137,820.25/34,645.50
  6. Step 6: Final answer
    x = 89,856.92

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.