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Finding the Third Proportional to 29,585.25 and 46,836

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Solution

The third proportional to 29,585.25 and 46,836 is: 74,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.25 : 46,836 = 46,836 : x
  2. Step 2: Convert to fraction form
    29,585.25/46,836 = 46,836/x
  3. Step 3: Cross multiply
    29,585.25x = 46,836 × 46,836
  4. Step 4: Simplify right side
    29,585.25x = 2,193,610,896
  5. Step 5: Solve for x
    x = 2,193,610,896/29,585.25
  6. Step 6: Final answer
    x = 74,145.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.