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Finding the Third Proportional to 30,242.50 and 45,394

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Solution

The third proportional to 30,242.50 and 45,394 is: 68,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.50 : 45,394 = 45,394 : x
  2. Step 2: Convert to fraction form
    30,242.50/45,394 = 45,394/x
  3. Step 3: Cross multiply
    30,242.50x = 45,394 × 45,394
  4. Step 4: Simplify right side
    30,242.50x = 2,060,615,236
  5. Step 5: Solve for x
    x = 2,060,615,236/30,242.50
  6. Step 6: Final answer
    x = 68,136.41

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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.