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Finding the Third Proportional to 15,588.56 and 32,285.81

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Solution

The third proportional to 15,588.56 and 32,285.81 is: 66,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.56 : 32,285.81 = 32,285.81 : x
  2. Step 2: Convert to fraction form
    15,588.56/32,285.81 = 32,285.81/x
  3. Step 3: Cross multiply
    15,588.56x = 32,285.81 × 32,285.81
  4. Step 4: Simplify right side
    15,588.56x = 1,042,373,688.79
  5. Step 5: Solve for x
    x = 1,042,373,688.79/15,588.56
  6. Step 6: Final answer
    x = 66,867.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.