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Finding the Third Proportional to 40,635 and 59,368.50

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Solution

The third proportional to 40,635 and 59,368.50 is: 86,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,635 : 59,368.50 = 59,368.50 : x
  2. Step 2: Convert to fraction form
    40,635/59,368.50 = 59,368.50/x
  3. Step 3: Cross multiply
    40,635x = 59,368.50 × 59,368.50
  4. Step 4: Simplify right side
    40,635x = 3,524,618,792.25
  5. Step 5: Solve for x
    x = 3,524,618,792.25/40,635
  6. Step 6: Final answer
    x = 86,738.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.