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Finding the Third Proportional to 8,742.94 and 13,904.16

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Solution

The third proportional to 8,742.94 and 13,904.16 is: 22,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.94 : 13,904.16 = 13,904.16 : x
  2. Step 2: Convert to fraction form
    8,742.94/13,904.16 = 13,904.16/x
  3. Step 3: Cross multiply
    8,742.94x = 13,904.16 × 13,904.16
  4. Step 4: Simplify right side
    8,742.94x = 193,325,561.02
  5. Step 5: Solve for x
    x = 193,325,561.02/8,742.94
  6. Step 6: Final answer
    x = 22,112.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.