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Finding the Third Proportional to 29,821.94 and 63,095.22

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Solution

The third proportional to 29,821.94 and 63,095.22 is: 133,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.94 : 63,095.22 = 63,095.22 : x
  2. Step 2: Convert to fraction form
    29,821.94/63,095.22 = 63,095.22/x
  3. Step 3: Cross multiply
    29,821.94x = 63,095.22 × 63,095.22
  4. Step 4: Simplify right side
    29,821.94x = 3,981,006,629.11
  5. Step 5: Solve for x
    x = 3,981,006,629.11/29,821.94
  6. Step 6: Final answer
    x = 133,492.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.