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Finding the Third Proportional to 45,584 and 68,985

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Solution

The third proportional to 45,584 and 68,985 is: 104,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 68,985 = 68,985 : x
  2. Step 2: Convert to fraction form
    45,584/68,985 = 68,985/x
  3. Step 3: Cross multiply
    45,584x = 68,985 × 68,985
  4. Step 4: Simplify right side
    45,584x = 4,758,930,225
  5. Step 5: Solve for x
    x = 4,758,930,225/45,584
  6. Step 6: Final answer
    x = 104,399.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.