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Finding the Third Proportional to 30,224 and 42,487

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Solution

The third proportional to 30,224 and 42,487 is: 59,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 42,487 = 42,487 : x
  2. Step 2: Convert to fraction form
    30,224/42,487 = 42,487/x
  3. Step 3: Cross multiply
    30,224x = 42,487 × 42,487
  4. Step 4: Simplify right side
    30,224x = 1,805,145,169
  5. Step 5: Solve for x
    x = 1,805,145,169/30,224
  6. Step 6: Final answer
    x = 59,725.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.