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Finding the Third Proportional to 29,490 and 62,308

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Solution

The third proportional to 29,490 and 62,308 is: 131,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490 : 62,308 = 62,308 : x
  2. Step 2: Convert to fraction form
    29,490/62,308 = 62,308/x
  3. Step 3: Cross multiply
    29,490x = 62,308 × 62,308
  4. Step 4: Simplify right side
    29,490x = 3,882,286,864
  5. Step 5: Solve for x
    x = 3,882,286,864/29,490
  6. Step 6: Final answer
    x = 131,647.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.