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Finding the Third Proportional to 30,282 and 45,433

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Solution

The third proportional to 30,282 and 45,433 is: 68,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282 : 45,433 = 45,433 : x
  2. Step 2: Convert to fraction form
    30,282/45,433 = 45,433/x
  3. Step 3: Cross multiply
    30,282x = 45,433 × 45,433
  4. Step 4: Simplify right side
    30,282x = 2,064,157,489
  5. Step 5: Solve for x
    x = 2,064,157,489/30,282
  6. Step 6: Final answer
    x = 68,164.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.