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Finding the Third Proportional to 14,617 and 31,967

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Solution

The third proportional to 14,617 and 31,967 is: 69,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617 : 31,967 = 31,967 : x
  2. Step 2: Convert to fraction form
    14,617/31,967 = 31,967/x
  3. Step 3: Cross multiply
    14,617x = 31,967 × 31,967
  4. Step 4: Simplify right side
    14,617x = 1,021,889,089
  5. Step 5: Solve for x
    x = 1,021,889,089/14,617
  6. Step 6: Final answer
    x = 69,911.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.