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Finding the Third Proportional to 9,032.34 and 13,900.78

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Solution

The third proportional to 9,032.34 and 13,900.78 is: 21,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.34 : 13,900.78 = 13,900.78 : x
  2. Step 2: Convert to fraction form
    9,032.34/13,900.78 = 13,900.78/x
  3. Step 3: Cross multiply
    9,032.34x = 13,900.78 × 13,900.78
  4. Step 4: Simplify right side
    9,032.34x = 193,231,719.36
  5. Step 5: Solve for x
    x = 193,231,719.36/9,032.34
  6. Step 6: Final answer
    x = 21,393.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.