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Finding the Third Proportional to 8,038.13 and 17,228.81

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Solution

The third proportional to 8,038.13 and 17,228.81 is: 36,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.13 : 17,228.81 = 17,228.81 : x
  2. Step 2: Convert to fraction form
    8,038.13/17,228.81 = 17,228.81/x
  3. Step 3: Cross multiply
    8,038.13x = 17,228.81 × 17,228.81
  4. Step 4: Simplify right side
    8,038.13x = 296,831,980.16
  5. Step 5: Solve for x
    x = 296,831,980.16/8,038.13
  6. Step 6: Final answer
    x = 36,928.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.