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Finding the Third Proportional to 30,282 and 43,347

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Solution

The third proportional to 30,282 and 43,347 is: 62,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282 : 43,347 = 43,347 : x
  2. Step 2: Convert to fraction form
    30,282/43,347 = 43,347/x
  3. Step 3: Cross multiply
    30,282x = 43,347 × 43,347
  4. Step 4: Simplify right side
    30,282x = 1,878,962,409
  5. Step 5: Solve for x
    x = 1,878,962,409/30,282
  6. Step 6: Final answer
    x = 62,048.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.