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Finding the Third Proportional to 30,942 and 45,360

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Solution

The third proportional to 30,942 and 45,360 is: 66,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 45,360 = 45,360 : x
  2. Step 2: Convert to fraction form
    30,942/45,360 = 45,360/x
  3. Step 3: Cross multiply
    30,942x = 45,360 × 45,360
  4. Step 4: Simplify right side
    30,942x = 2,057,529,600
  5. Step 5: Solve for x
    x = 2,057,529,600/30,942
  6. Step 6: Final answer
    x = 66,496.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.