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Finding the Third Proportional to 46,229.63 and 67,697.44

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Solution

The third proportional to 46,229.63 and 67,697.44 is: 99,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229.63 : 67,697.44 = 67,697.44 : x
  2. Step 2: Convert to fraction form
    46,229.63/67,697.44 = 67,697.44/x
  3. Step 3: Cross multiply
    46,229.63x = 67,697.44 × 67,697.44
  4. Step 4: Simplify right side
    46,229.63x = 4,582,943,044.07
  5. Step 5: Solve for x
    x = 4,582,943,044.07/46,229.63
  6. Step 6: Final answer
    x = 99,134.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.