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Finding the Third Proportional to 13,097 and 27,985

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Solution

The third proportional to 13,097 and 27,985 is: 59,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097 : 27,985 = 27,985 : x
  2. Step 2: Convert to fraction form
    13,097/27,985 = 27,985/x
  3. Step 3: Cross multiply
    13,097x = 27,985 × 27,985
  4. Step 4: Simplify right side
    13,097x = 783,160,225
  5. Step 5: Solve for x
    x = 783,160,225/13,097
  6. Step 6: Final answer
    x = 59,796.92

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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.