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Finding the Third Proportional to 32,905.69 and 71,065.69

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Solution

The third proportional to 32,905.69 and 71,065.69 is: 153,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.69 : 71,065.69 = 71,065.69 : x
  2. Step 2: Convert to fraction form
    32,905.69/71,065.69 = 71,065.69/x
  3. Step 3: Cross multiply
    32,905.69x = 71,065.69 × 71,065.69
  4. Step 4: Simplify right side
    32,905.69x = 5,050,331,939.85
  5. Step 5: Solve for x
    x = 5,050,331,939.85/32,905.69
  6. Step 6: Final answer
    x = 153,479.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.