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Finding the Third Proportional to 28,696 and 61,786

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Solution

The third proportional to 28,696 and 61,786 is: 133,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,696 : 61,786 = 61,786 : x
  2. Step 2: Convert to fraction form
    28,696/61,786 = 61,786/x
  3. Step 3: Cross multiply
    28,696x = 61,786 × 61,786
  4. Step 4: Simplify right side
    28,696x = 3,817,509,796
  5. Step 5: Solve for x
    x = 3,817,509,796/28,696
  6. Step 6: Final answer
    x = 133,032.82

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