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Finding the Third Proportional to 39,586.81 and 59,432.19

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Solution

The third proportional to 39,586.81 and 59,432.19 is: 89,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586.81 : 59,432.19 = 59,432.19 : x
  2. Step 2: Convert to fraction form
    39,586.81/59,432.19 = 59,432.19/x
  3. Step 3: Cross multiply
    39,586.81x = 59,432.19 × 59,432.19
  4. Step 4: Simplify right side
    39,586.81x = 3,532,184,911.04
  5. Step 5: Solve for x
    x = 3,532,184,911.04/39,586.81
  6. Step 6: Final answer
    x = 89,226.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.