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Finding the Third Proportional to 47,972 and 71,964

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Solution

The third proportional to 47,972 and 71,964 is: 107,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,972 : 71,964 = 71,964 : x
  2. Step 2: Convert to fraction form
    47,972/71,964 = 71,964/x
  3. Step 3: Cross multiply
    47,972x = 71,964 × 71,964
  4. Step 4: Simplify right side
    47,972x = 5,178,817,296
  5. Step 5: Solve for x
    x = 5,178,817,296/47,972
  6. Step 6: Final answer
    x = 107,955.00

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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.