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Finding the Third Proportional to 29,131.75 and 46,472.75

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Solution

The third proportional to 29,131.75 and 46,472.75 is: 74,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131.75 : 46,472.75 = 46,472.75 : x
  2. Step 2: Convert to fraction form
    29,131.75/46,472.75 = 46,472.75/x
  3. Step 3: Cross multiply
    29,131.75x = 46,472.75 × 46,472.75
  4. Step 4: Simplify right side
    29,131.75x = 2,159,716,492.56
  5. Step 5: Solve for x
    x = 2,159,716,492.56/29,131.75
  6. Step 6: Final answer
    x = 74,136.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.