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Finding the Third Proportional to 14,978.75 and 23,369.13

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Solution

The third proportional to 14,978.75 and 23,369.13 is: 36,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.75 : 23,369.13 = 23,369.13 : x
  2. Step 2: Convert to fraction form
    14,978.75/23,369.13 = 23,369.13/x
  3. Step 3: Cross multiply
    14,978.75x = 23,369.13 × 23,369.13
  4. Step 4: Simplify right side
    14,978.75x = 546,116,003.27
  5. Step 5: Solve for x
    x = 546,116,003.27/14,978.75
  6. Step 6: Final answer
    x = 36,459.38

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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.