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Finding the Third Proportional to 28,790 and 61,576

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Solution

The third proportional to 28,790 and 61,576 is: 131,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,790 : 61,576 = 61,576 : x
  2. Step 2: Convert to fraction form
    28,790/61,576 = 61,576/x
  3. Step 3: Cross multiply
    28,790x = 61,576 × 61,576
  4. Step 4: Simplify right side
    28,790x = 3,791,603,776
  5. Step 5: Solve for x
    x = 3,791,603,776/28,790
  6. Step 6: Final answer
    x = 131,698.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.