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Finding the Third Proportional to 26,221 and 56,046

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Solution

The third proportional to 26,221 and 56,046 is: 119,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,221 : 56,046 = 56,046 : x
  2. Step 2: Convert to fraction form
    26,221/56,046 = 56,046/x
  3. Step 3: Cross multiply
    26,221x = 56,046 × 56,046
  4. Step 4: Simplify right side
    26,221x = 3,141,154,116
  5. Step 5: Solve for x
    x = 3,141,154,116/26,221
  6. Step 6: Final answer
    x = 119,795.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.