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Finding the Third Proportional to 14,972 and 31,768

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Solution

The third proportional to 14,972 and 31,768 is: 67,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972 : 31,768 = 31,768 : x
  2. Step 2: Convert to fraction form
    14,972/31,768 = 31,768/x
  3. Step 3: Cross multiply
    14,972x = 31,768 × 31,768
  4. Step 4: Simplify right side
    14,972x = 1,009,205,824
  5. Step 5: Solve for x
    x = 1,009,205,824/14,972
  6. Step 6: Final answer
    x = 67,406.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.