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Finding the Third Proportional to 36,586.69 and 59,618.53

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Solution

The third proportional to 36,586.69 and 59,618.53 is: 97,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.69 : 59,618.53 = 59,618.53 : x
  2. Step 2: Convert to fraction form
    36,586.69/59,618.53 = 59,618.53/x
  3. Step 3: Cross multiply
    36,586.69x = 59,618.53 × 59,618.53
  4. Step 4: Simplify right side
    36,586.69x = 3,554,369,268.41
  5. Step 5: Solve for x
    x = 3,554,369,268.41/36,586.69
  6. Step 6: Final answer
    x = 97,149.25

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.