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Finding the Third Proportional to 9,051 and 13,252

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Solution

The third proportional to 9,051 and 13,252 is: 19,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051 : 13,252 = 13,252 : x
  2. Step 2: Convert to fraction form
    9,051/13,252 = 13,252/x
  3. Step 3: Cross multiply
    9,051x = 13,252 × 13,252
  4. Step 4: Simplify right side
    9,051x = 175,615,504
  5. Step 5: Solve for x
    x = 175,615,504/9,051
  6. Step 6: Final answer
    x = 19,402.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.