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Finding the Third Proportional to 30,994 and 45,188

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Solution

The third proportional to 30,994 and 45,188 is: 65,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994 : 45,188 = 45,188 : x
  2. Step 2: Convert to fraction form
    30,994/45,188 = 45,188/x
  3. Step 3: Cross multiply
    30,994x = 45,188 × 45,188
  4. Step 4: Simplify right side
    30,994x = 2,041,955,344
  5. Step 5: Solve for x
    x = 2,041,955,344/30,994
  6. Step 6: Final answer
    x = 65,882.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.