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Finding the Third Proportional to 47,024 and 70,544

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Solution

The third proportional to 47,024 and 70,544 is: 105,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024 : 70,544 = 70,544 : x
  2. Step 2: Convert to fraction form
    47,024/70,544 = 70,544/x
  3. Step 3: Cross multiply
    47,024x = 70,544 × 70,544
  4. Step 4: Simplify right side
    47,024x = 4,976,455,936
  5. Step 5: Solve for x
    x = 4,976,455,936/47,024
  6. Step 6: Final answer
    x = 105,828.00

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