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Finding the Third Proportional to 14,781 and 28,830

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Solution

The third proportional to 14,781 and 28,830 is: 56,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781 : 28,830 = 28,830 : x
  2. Step 2: Convert to fraction form
    14,781/28,830 = 28,830/x
  3. Step 3: Cross multiply
    14,781x = 28,830 × 28,830
  4. Step 4: Simplify right side
    14,781x = 831,168,900
  5. Step 5: Solve for x
    x = 831,168,900/14,781
  6. Step 6: Final answer
    x = 56,232.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.