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Finding the Third Proportional to 26,624 and 56,008

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Solution

The third proportional to 26,624 and 56,008 is: 117,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624 : 56,008 = 56,008 : x
  2. Step 2: Convert to fraction form
    26,624/56,008 = 56,008/x
  3. Step 3: Cross multiply
    26,624x = 56,008 × 56,008
  4. Step 4: Simplify right side
    26,624x = 3,136,896,064
  5. Step 5: Solve for x
    x = 3,136,896,064/26,624
  6. Step 6: Final answer
    x = 117,822.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.