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Finding the Third Proportional to 14,824.69 and 23,087.53

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Solution

The third proportional to 14,824.69 and 23,087.53 is: 35,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.69 : 23,087.53 = 23,087.53 : x
  2. Step 2: Convert to fraction form
    14,824.69/23,087.53 = 23,087.53/x
  3. Step 3: Cross multiply
    14,824.69x = 23,087.53 × 23,087.53
  4. Step 4: Simplify right side
    14,824.69x = 533,034,099.22
  5. Step 5: Solve for x
    x = 533,034,099.22/14,824.69
  6. Step 6: Final answer
    x = 35,955.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.