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Finding the Third Proportional to 14,352 and 31,533

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Solution

The third proportional to 14,352 and 31,533 is: 69,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352 : 31,533 = 31,533 : x
  2. Step 2: Convert to fraction form
    14,352/31,533 = 31,533/x
  3. Step 3: Cross multiply
    14,352x = 31,533 × 31,533
  4. Step 4: Simplify right side
    14,352x = 994,330,089
  5. Step 5: Solve for x
    x = 994,330,089/14,352
  6. Step 6: Final answer
    x = 69,281.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.