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Finding the Third Proportional to 14,816.25 and 23,454.56

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Solution

The third proportional to 14,816.25 and 23,454.56 is: 37,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.25 : 23,454.56 = 23,454.56 : x
  2. Step 2: Convert to fraction form
    14,816.25/23,454.56 = 23,454.56/x
  3. Step 3: Cross multiply
    14,816.25x = 23,454.56 × 23,454.56
  4. Step 4: Simplify right side
    14,816.25x = 550,116,502.07
  5. Step 5: Solve for x
    x = 550,116,502.07/14,816.25
  6. Step 6: Final answer
    x = 37,129.27

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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.