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Finding the Third Proportional to 28,653 and 61,537

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Solution

The third proportional to 28,653 and 61,537 is: 132,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,653 : 61,537 = 61,537 : x
  2. Step 2: Convert to fraction form
    28,653/61,537 = 61,537/x
  3. Step 3: Cross multiply
    28,653x = 61,537 × 61,537
  4. Step 4: Simplify right side
    28,653x = 3,786,802,369
  5. Step 5: Solve for x
    x = 3,786,802,369/28,653
  6. Step 6: Final answer
    x = 132,160.76

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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.