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Finding the Third Proportional to 40,953 and 65,118

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Solution

The third proportional to 40,953 and 65,118 is: 103,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,953 : 65,118 = 65,118 : x
  2. Step 2: Convert to fraction form
    40,953/65,118 = 65,118/x
  3. Step 3: Cross multiply
    40,953x = 65,118 × 65,118
  4. Step 4: Simplify right side
    40,953x = 4,240,353,924
  5. Step 5: Solve for x
    x = 4,240,353,924/40,953
  6. Step 6: Final answer
    x = 103,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.