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Finding the Third Proportional to 22,346 and 55,097

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Solution

The third proportional to 22,346 and 55,097 is: 135,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346 : 55,097 = 55,097 : x
  2. Step 2: Convert to fraction form
    22,346/55,097 = 55,097/x
  3. Step 3: Cross multiply
    22,346x = 55,097 × 55,097
  4. Step 4: Simplify right side
    22,346x = 3,035,679,409
  5. Step 5: Solve for x
    x = 3,035,679,409/22,346
  6. Step 6: Final answer
    x = 135,848.90

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.