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Finding the Third Proportional to 29,368.25 and 47,287.38

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Solution

The third proportional to 29,368.25 and 47,287.38 is: 76,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,368.25 : 47,287.38 = 47,287.38 : x
  2. Step 2: Convert to fraction form
    29,368.25/47,287.38 = 47,287.38/x
  3. Step 3: Cross multiply
    29,368.25x = 47,287.38 × 47,287.38
  4. Step 4: Simplify right side
    29,368.25x = 2,236,095,834.39
  5. Step 5: Solve for x
    x = 2,236,095,834.39/29,368.25
  6. Step 6: Final answer
    x = 76,139.91

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Why These Related Problems?

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