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Finding the Third Proportional to 29,920 and 46,460

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Solution

The third proportional to 29,920 and 46,460 is: 72,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920 : 46,460 = 46,460 : x
  2. Step 2: Convert to fraction form
    29,920/46,460 = 46,460/x
  3. Step 3: Cross multiply
    29,920x = 46,460 × 46,460
  4. Step 4: Simplify right side
    29,920x = 2,158,531,600
  5. Step 5: Solve for x
    x = 2,158,531,600/29,920
  6. Step 6: Final answer
    x = 72,143.44

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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.