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Finding the Third Proportional to 29,685.50 and 42,522.75

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Solution

The third proportional to 29,685.50 and 42,522.75 is: 60,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.50 : 42,522.75 = 42,522.75 : x
  2. Step 2: Convert to fraction form
    29,685.50/42,522.75 = 42,522.75/x
  3. Step 3: Cross multiply
    29,685.50x = 42,522.75 × 42,522.75
  4. Step 4: Simplify right side
    29,685.50x = 1,808,184,267.56
  5. Step 5: Solve for x
    x = 1,808,184,267.56/29,685.50
  6. Step 6: Final answer
    x = 60,911.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.