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Finding the Third Proportional to 29,711.81 and 61,894.13

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Solution

The third proportional to 29,711.81 and 61,894.13 is: 128,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.81 : 61,894.13 = 61,894.13 : x
  2. Step 2: Convert to fraction form
    29,711.81/61,894.13 = 61,894.13/x
  3. Step 3: Cross multiply
    29,711.81x = 61,894.13 × 61,894.13
  4. Step 4: Simplify right side
    29,711.81x = 3,830,882,709.52
  5. Step 5: Solve for x
    x = 3,830,882,709.52/29,711.81
  6. Step 6: Final answer
    x = 128,934.67

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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.