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Finding the Third Proportional to 46,970 and 68,728

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Solution

The third proportional to 46,970 and 68,728 is: 100,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,970 : 68,728 = 68,728 : x
  2. Step 2: Convert to fraction form
    46,970/68,728 = 68,728/x
  3. Step 3: Cross multiply
    46,970x = 68,728 × 68,728
  4. Step 4: Simplify right side
    46,970x = 4,723,537,984
  5. Step 5: Solve for x
    x = 4,723,537,984/46,970
  6. Step 6: Final answer
    x = 100,565.00

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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.