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Finding the Third Proportional to 8,461 and 19,501

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Solution

The third proportional to 8,461 and 19,501 is: 44,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461 : 19,501 = 19,501 : x
  2. Step 2: Convert to fraction form
    8,461/19,501 = 19,501/x
  3. Step 3: Cross multiply
    8,461x = 19,501 × 19,501
  4. Step 4: Simplify right side
    8,461x = 380,289,001
  5. Step 5: Solve for x
    x = 380,289,001/8,461
  6. Step 6: Final answer
    x = 44,946.11

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.