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Finding the Third Proportional to 45,596 and 60,910

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Solution

The third proportional to 45,596 and 60,910 is: 81,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,596 : 60,910 = 60,910 : x
  2. Step 2: Convert to fraction form
    45,596/60,910 = 60,910/x
  3. Step 3: Cross multiply
    45,596x = 60,910 × 60,910
  4. Step 4: Simplify right side
    45,596x = 3,710,028,100
  5. Step 5: Solve for x
    x = 3,710,028,100/45,596
  6. Step 6: Final answer
    x = 81,367.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.