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Finding the Third Proportional to 9,132.75 and 13,798.69

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Solution

The third proportional to 9,132.75 and 13,798.69 is: 20,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.75 : 13,798.69 = 13,798.69 : x
  2. Step 2: Convert to fraction form
    9,132.75/13,798.69 = 13,798.69/x
  3. Step 3: Cross multiply
    9,132.75x = 13,798.69 × 13,798.69
  4. Step 4: Simplify right side
    9,132.75x = 190,403,776.72
  5. Step 5: Solve for x
    x = 190,403,776.72/9,132.75
  6. Step 6: Final answer
    x = 20,848.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.