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Finding the Third Proportional to 14,513 and 30,967

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Solution

The third proportional to 14,513 and 30,967 is: 66,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513 : 30,967 = 30,967 : x
  2. Step 2: Convert to fraction form
    14,513/30,967 = 30,967/x
  3. Step 3: Cross multiply
    14,513x = 30,967 × 30,967
  4. Step 4: Simplify right side
    14,513x = 958,955,089
  5. Step 5: Solve for x
    x = 958,955,089/14,513
  6. Step 6: Final answer
    x = 66,075.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.