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Finding the Third Proportional to 29,756.81 and 61,979.63

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Solution

The third proportional to 29,756.81 and 61,979.63 is: 129,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.81 : 61,979.63 = 61,979.63 : x
  2. Step 2: Convert to fraction form
    29,756.81/61,979.63 = 61,979.63/x
  3. Step 3: Cross multiply
    29,756.81x = 61,979.63 × 61,979.63
  4. Step 4: Simplify right side
    29,756.81x = 3,841,473,915.14
  5. Step 5: Solve for x
    x = 3,841,473,915.14/29,756.81
  6. Step 6: Final answer
    x = 129,095.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.