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Finding the Third Proportional to 44,905 and 67,365

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Solution

The third proportional to 44,905 and 67,365 is: 101,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,905 : 67,365 = 67,365 : x
  2. Step 2: Convert to fraction form
    44,905/67,365 = 67,365/x
  3. Step 3: Cross multiply
    44,905x = 67,365 × 67,365
  4. Step 4: Simplify right side
    44,905x = 4,538,043,225
  5. Step 5: Solve for x
    x = 4,538,043,225/44,905
  6. Step 6: Final answer
    x = 101,058.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.