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Finding the Third Proportional to 9,301.50 and 13,973.06

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Solution

The third proportional to 9,301.50 and 13,973.06 is: 20,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.50 : 13,973.06 = 13,973.06 : x
  2. Step 2: Convert to fraction form
    9,301.50/13,973.06 = 13,973.06/x
  3. Step 3: Cross multiply
    9,301.50x = 13,973.06 × 13,973.06
  4. Step 4: Simplify right side
    9,301.50x = 195,246,475.63
  5. Step 5: Solve for x
    x = 195,246,475.63/9,301.50
  6. Step 6: Final answer
    x = 20,990.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.