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Finding the Third Proportional to 9,432.56 and 14,923.69

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Solution

The third proportional to 9,432.56 and 14,923.69 is: 23,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.56 : 14,923.69 = 14,923.69 : x
  2. Step 2: Convert to fraction form
    9,432.56/14,923.69 = 14,923.69/x
  3. Step 3: Cross multiply
    9,432.56x = 14,923.69 × 14,923.69
  4. Step 4: Simplify right side
    9,432.56x = 222,716,448.60
  5. Step 5: Solve for x
    x = 222,716,448.60/9,432.56
  6. Step 6: Final answer
    x = 23,611.45

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.