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Finding the Third Proportional to 22,029.47 and 35,462.81

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Solution

The third proportional to 22,029.47 and 35,462.81 is: 57,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.47 : 35,462.81 = 35,462.81 : x
  2. Step 2: Convert to fraction form
    22,029.47/35,462.81 = 35,462.81/x
  3. Step 3: Cross multiply
    22,029.47x = 35,462.81 × 35,462.81
  4. Step 4: Simplify right side
    22,029.47x = 1,257,611,070.41
  5. Step 5: Solve for x
    x = 1,257,611,070.41/22,029.47
  6. Step 6: Final answer
    x = 57,087.67

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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.