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Finding the Third Proportional to 29,905 and 45,917

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Solution

The third proportional to 29,905 and 45,917 is: 70,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905 : 45,917 = 45,917 : x
  2. Step 2: Convert to fraction form
    29,905/45,917 = 45,917/x
  3. Step 3: Cross multiply
    29,905x = 45,917 × 45,917
  4. Step 4: Simplify right side
    29,905x = 2,108,370,889
  5. Step 5: Solve for x
    x = 2,108,370,889/29,905
  6. Step 6: Final answer
    x = 70,502.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.