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Finding the Third Proportional to 14,968 and 32,524

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Solution

The third proportional to 14,968 and 32,524 is: 70,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968 : 32,524 = 32,524 : x
  2. Step 2: Convert to fraction form
    14,968/32,524 = 32,524/x
  3. Step 3: Cross multiply
    14,968x = 32,524 × 32,524
  4. Step 4: Simplify right side
    14,968x = 1,057,810,576
  5. Step 5: Solve for x
    x = 1,057,810,576/14,968
  6. Step 6: Final answer
    x = 70,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.