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Finding the Third Proportional to 30,228 and 46,963

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Solution

The third proportional to 30,228 and 46,963 is: 72,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228 : 46,963 = 46,963 : x
  2. Step 2: Convert to fraction form
    30,228/46,963 = 46,963/x
  3. Step 3: Cross multiply
    30,228x = 46,963 × 46,963
  4. Step 4: Simplify right side
    30,228x = 2,205,523,369
  5. Step 5: Solve for x
    x = 2,205,523,369/30,228
  6. Step 6: Final answer
    x = 72,962.93

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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.