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Finding the Third Proportional to 40,705 and 53,645

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Solution

The third proportional to 40,705 and 53,645 is: 70,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,705 : 53,645 = 53,645 : x
  2. Step 2: Convert to fraction form
    40,705/53,645 = 53,645/x
  3. Step 3: Cross multiply
    40,705x = 53,645 × 53,645
  4. Step 4: Simplify right side
    40,705x = 2,877,786,025
  5. Step 5: Solve for x
    x = 2,877,786,025/40,705
  6. Step 6: Final answer
    x = 70,698.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.