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Finding the Third Proportional to 41,310 and 59,008.50

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Solution

The third proportional to 41,310 and 59,008.50 is: 84,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 59,008.50 = 59,008.50 : x
  2. Step 2: Convert to fraction form
    41,310/59,008.50 = 59,008.50/x
  3. Step 3: Cross multiply
    41,310x = 59,008.50 × 59,008.50
  4. Step 4: Simplify right side
    41,310x = 3,482,003,072.25
  5. Step 5: Solve for x
    x = 3,482,003,072.25/41,310
  6. Step 6: Final answer
    x = 84,289.59

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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.