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Finding the Third Proportional to 46,042 and 67,550

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Solution

The third proportional to 46,042 and 67,550 is: 99,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,042 : 67,550 = 67,550 : x
  2. Step 2: Convert to fraction form
    46,042/67,550 = 67,550/x
  3. Step 3: Cross multiply
    46,042x = 67,550 × 67,550
  4. Step 4: Simplify right side
    46,042x = 4,563,002,500
  5. Step 5: Solve for x
    x = 4,563,002,500/46,042
  6. Step 6: Final answer
    x = 99,105.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.