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Finding the Third Proportional to 46,978 and 70,453

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Solution

The third proportional to 46,978 and 70,453 is: 105,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978 : 70,453 = 70,453 : x
  2. Step 2: Convert to fraction form
    46,978/70,453 = 70,453/x
  3. Step 3: Cross multiply
    46,978x = 70,453 × 70,453
  4. Step 4: Simplify right side
    46,978x = 4,963,625,209
  5. Step 5: Solve for x
    x = 4,963,625,209/46,978
  6. Step 6: Final answer
    x = 105,658.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.