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Finding the Third Proportional to 15,876.80 and 23,376.56

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Solution

The third proportional to 15,876.80 and 23,376.56 is: 34,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.80 : 23,376.56 = 23,376.56 : x
  2. Step 2: Convert to fraction form
    15,876.80/23,376.56 = 23,376.56/x
  3. Step 3: Cross multiply
    15,876.80x = 23,376.56 × 23,376.56
  4. Step 4: Simplify right side
    15,876.80x = 546,463,674.32
  5. Step 5: Solve for x
    x = 546,463,674.32/15,876.80
  6. Step 6: Final answer
    x = 34,419.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.