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Finding the Third Proportional to 29,368.69 and 47,287.97

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Solution

The third proportional to 29,368.69 and 47,287.97 is: 76,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,368.69 : 47,287.97 = 47,287.97 : x
  2. Step 2: Convert to fraction form
    29,368.69/47,287.97 = 47,287.97/x
  3. Step 3: Cross multiply
    29,368.69x = 47,287.97 × 47,287.97
  4. Step 4: Simplify right side
    29,368.69x = 2,236,151,988.50
  5. Step 5: Solve for x
    x = 2,236,151,988.50/29,368.69
  6. Step 6: Final answer
    x = 76,140.69

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.