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Finding the Third Proportional to 29,716 and 44,430

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Solution

The third proportional to 29,716 and 44,430 is: 66,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716 : 44,430 = 44,430 : x
  2. Step 2: Convert to fraction form
    29,716/44,430 = 44,430/x
  3. Step 3: Cross multiply
    29,716x = 44,430 × 44,430
  4. Step 4: Simplify right side
    29,716x = 1,974,024,900
  5. Step 5: Solve for x
    x = 1,974,024,900/29,716
  6. Step 6: Final answer
    x = 66,429.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.