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Finding the Third Proportional to 46,037 and 67,545

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Solution

The third proportional to 46,037 and 67,545 is: 99,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,037 : 67,545 = 67,545 : x
  2. Step 2: Convert to fraction form
    46,037/67,545 = 67,545/x
  3. Step 3: Cross multiply
    46,037x = 67,545 × 67,545
  4. Step 4: Simplify right side
    46,037x = 4,562,327,025
  5. Step 5: Solve for x
    x = 4,562,327,025/46,037
  6. Step 6: Final answer
    x = 99,101.31

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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.