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Finding the Third Proportional to 46,025 and 67,520

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Solution

The third proportional to 46,025 and 67,520 is: 99,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,025 : 67,520 = 67,520 : x
  2. Step 2: Convert to fraction form
    46,025/67,520 = 67,520/x
  3. Step 3: Cross multiply
    46,025x = 67,520 × 67,520
  4. Step 4: Simplify right side
    46,025x = 4,558,950,400
  5. Step 5: Solve for x
    x = 4,558,950,400/46,025
  6. Step 6: Final answer
    x = 99,053.78

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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.