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Finding the Third Proportional to 9,199.13 and 14,573.81

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Solution

The third proportional to 9,199.13 and 14,573.81 is: 23,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.13 : 14,573.81 = 14,573.81 : x
  2. Step 2: Convert to fraction form
    9,199.13/14,573.81 = 14,573.81/x
  3. Step 3: Cross multiply
    9,199.13x = 14,573.81 × 14,573.81
  4. Step 4: Simplify right side
    9,199.13x = 212,396,010.79
  5. Step 5: Solve for x
    x = 212,396,010.79/9,199.13
  6. Step 6: Final answer
    x = 23,088.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.