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Finding the Third Proportional to 14,996 and 32,368

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Solution

The third proportional to 14,996 and 32,368 is: 69,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996 : 32,368 = 32,368 : x
  2. Step 2: Convert to fraction form
    14,996/32,368 = 32,368/x
  3. Step 3: Cross multiply
    14,996x = 32,368 × 32,368
  4. Step 4: Simplify right side
    14,996x = 1,047,687,424
  5. Step 5: Solve for x
    x = 1,047,687,424/14,996
  6. Step 6: Final answer
    x = 69,864.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.