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Finding the Third Proportional to 10,903.38 and 17,293.38

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Solution

The third proportional to 10,903.38 and 17,293.38 is: 27,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.38 : 17,293.38 = 17,293.38 : x
  2. Step 2: Convert to fraction form
    10,903.38/17,293.38 = 17,293.38/x
  3. Step 3: Cross multiply
    10,903.38x = 17,293.38 × 17,293.38
  4. Step 4: Simplify right side
    10,903.38x = 299,060,818.89
  5. Step 5: Solve for x
    x = 299,060,818.89/10,903.38
  6. Step 6: Final answer
    x = 27,428.28

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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.