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Finding the Third Proportional to 32,476.06 and 51,715.69

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Solution

The third proportional to 32,476.06 and 51,715.69 is: 82,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.06 : 51,715.69 = 51,715.69 : x
  2. Step 2: Convert to fraction form
    32,476.06/51,715.69 = 51,715.69/x
  3. Step 3: Cross multiply
    32,476.06x = 51,715.69 × 51,715.69
  4. Step 4: Simplify right side
    32,476.06x = 2,674,512,333.60
  5. Step 5: Solve for x
    x = 2,674,512,333.60/32,476.06
  6. Step 6: Final answer
    x = 82,353.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.