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Finding the Third Proportional to 28,294 and 61,453

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Solution

The third proportional to 28,294 and 61,453 is: 133,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294 : 61,453 = 61,453 : x
  2. Step 2: Convert to fraction form
    28,294/61,453 = 61,453/x
  3. Step 3: Cross multiply
    28,294x = 61,453 × 61,453
  4. Step 4: Simplify right side
    28,294x = 3,776,471,209
  5. Step 5: Solve for x
    x = 3,776,471,209/28,294
  6. Step 6: Final answer
    x = 133,472.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.