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Finding the Third Proportional to 8,457 and 13,461

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Solution

The third proportional to 8,457 and 13,461 is: 21,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 13,461 = 13,461 : x
  2. Step 2: Convert to fraction form
    8,457/13,461 = 13,461/x
  3. Step 3: Cross multiply
    8,457x = 13,461 × 13,461
  4. Step 4: Simplify right side
    8,457x = 181,198,521
  5. Step 5: Solve for x
    x = 181,198,521/8,457
  6. Step 6: Final answer
    x = 21,425.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.