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Finding the Third Proportional to 9,141.40 and 13,652.30

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Solution

The third proportional to 9,141.40 and 13,652.30 is: 20,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.40 : 13,652.30 = 13,652.30 : x
  2. Step 2: Convert to fraction form
    9,141.40/13,652.30 = 13,652.30/x
  3. Step 3: Cross multiply
    9,141.40x = 13,652.30 × 13,652.30
  4. Step 4: Simplify right side
    9,141.40x = 186,385,209.96
  5. Step 5: Solve for x
    x = 186,385,209.96/9,141.40
  6. Step 6: Final answer
    x = 20,389.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.