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Finding the Third Proportional to 30,203 and 44,415

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Solution

The third proportional to 30,203 and 44,415 is: 65,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203 : 44,415 = 44,415 : x
  2. Step 2: Convert to fraction form
    30,203/44,415 = 44,415/x
  3. Step 3: Cross multiply
    30,203x = 44,415 × 44,415
  4. Step 4: Simplify right side
    30,203x = 1,972,692,225
  5. Step 5: Solve for x
    x = 1,972,692,225/30,203
  6. Step 6: Final answer
    x = 65,314.45

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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.