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Finding the Third Proportional to 14,871 and 23,013

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Solution

The third proportional to 14,871 and 23,013 is: 35,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871 : 23,013 = 23,013 : x
  2. Step 2: Convert to fraction form
    14,871/23,013 = 23,013/x
  3. Step 3: Cross multiply
    14,871x = 23,013 × 23,013
  4. Step 4: Simplify right side
    14,871x = 529,598,169
  5. Step 5: Solve for x
    x = 529,598,169/14,871
  6. Step 6: Final answer
    x = 35,612.81

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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.