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Finding the Third Proportional to 29,585.25 and 64,916.44

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Solution

The third proportional to 29,585.25 and 64,916.44 is: 142,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.25 : 64,916.44 = 64,916.44 : x
  2. Step 2: Convert to fraction form
    29,585.25/64,916.44 = 64,916.44/x
  3. Step 3: Cross multiply
    29,585.25x = 64,916.44 × 64,916.44
  4. Step 4: Simplify right side
    29,585.25x = 4,214,143,857.69
  5. Step 5: Solve for x
    x = 4,214,143,857.69/29,585.25
  6. Step 6: Final answer
    x = 142,440.70

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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.