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Finding the Third Proportional to 29,294 and 46,606

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Solution

The third proportional to 29,294 and 46,606 is: 74,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294 : 46,606 = 46,606 : x
  2. Step 2: Convert to fraction form
    29,294/46,606 = 46,606/x
  3. Step 3: Cross multiply
    29,294x = 46,606 × 46,606
  4. Step 4: Simplify right side
    29,294x = 2,172,119,236
  5. Step 5: Solve for x
    x = 2,172,119,236/29,294
  6. Step 6: Final answer
    x = 74,148.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.