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Finding the Third Proportional to 46,210 and 71,524

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Solution

The third proportional to 46,210 and 71,524 is: 110,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210 : 71,524 = 71,524 : x
  2. Step 2: Convert to fraction form
    46,210/71,524 = 71,524/x
  3. Step 3: Cross multiply
    46,210x = 71,524 × 71,524
  4. Step 4: Simplify right side
    46,210x = 5,115,682,576
  5. Step 5: Solve for x
    x = 5,115,682,576/46,210
  6. Step 6: Final answer
    x = 110,705.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.