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Finding the Third Proportional to 8,938.97 and 13,131.28

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Solution

The third proportional to 8,938.97 and 13,131.28 is: 19,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.97 : 13,131.28 = 13,131.28 : x
  2. Step 2: Convert to fraction form
    8,938.97/13,131.28 = 13,131.28/x
  3. Step 3: Cross multiply
    8,938.97x = 13,131.28 × 13,131.28
  4. Step 4: Simplify right side
    8,938.97x = 172,430,547.27
  5. Step 5: Solve for x
    x = 172,430,547.27/8,938.97
  6. Step 6: Final answer
    x = 19,289.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.