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Finding the Third Proportional to 29,802.94 and 65,215.13

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Solution

The third proportional to 29,802.94 and 65,215.13 is: 142,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.94 : 65,215.13 = 65,215.13 : x
  2. Step 2: Convert to fraction form
    29,802.94/65,215.13 = 65,215.13/x
  3. Step 3: Cross multiply
    29,802.94x = 65,215.13 × 65,215.13
  4. Step 4: Simplify right side
    29,802.94x = 4,253,012,528.77
  5. Step 5: Solve for x
    x = 4,253,012,528.77/29,802.94
  6. Step 6: Final answer
    x = 142,704.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.