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Finding the Third Proportional to 29,657 and 46,188

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Solution

The third proportional to 29,657 and 46,188 is: 71,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657 : 46,188 = 46,188 : x
  2. Step 2: Convert to fraction form
    29,657/46,188 = 46,188/x
  3. Step 3: Cross multiply
    29,657x = 46,188 × 46,188
  4. Step 4: Simplify right side
    29,657x = 2,133,331,344
  5. Step 5: Solve for x
    x = 2,133,331,344/29,657
  6. Step 6: Final answer
    x = 71,933.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.