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Finding the Third Proportional to 28,538 and 61,468

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Solution

The third proportional to 28,538 and 61,468 is: 132,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538 : 61,468 = 61,468 : x
  2. Step 2: Convert to fraction form
    28,538/61,468 = 61,468/x
  3. Step 3: Cross multiply
    28,538x = 61,468 × 61,468
  4. Step 4: Simplify right side
    28,538x = 3,778,315,024
  5. Step 5: Solve for x
    x = 3,778,315,024/28,538
  6. Step 6: Final answer
    x = 132,395.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.