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Finding the Third Proportional to 28,414 and 59,774

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Solution

The third proportional to 28,414 and 59,774 is: 125,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,414 : 59,774 = 59,774 : x
  2. Step 2: Convert to fraction form
    28,414/59,774 = 59,774/x
  3. Step 3: Cross multiply
    28,414x = 59,774 × 59,774
  4. Step 4: Simplify right side
    28,414x = 3,572,931,076
  5. Step 5: Solve for x
    x = 3,572,931,076/28,414
  6. Step 6: Final answer
    x = 125,745.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.