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Finding the Third Proportional to 25,783.31 and 41,025.94

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Solution

The third proportional to 25,783.31 and 41,025.94 is: 65,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.31 : 41,025.94 = 41,025.94 : x
  2. Step 2: Convert to fraction form
    25,783.31/41,025.94 = 41,025.94/x
  3. Step 3: Cross multiply
    25,783.31x = 41,025.94 × 41,025.94
  4. Step 4: Simplify right side
    25,783.31x = 1,683,127,547.75
  5. Step 5: Solve for x
    x = 1,683,127,547.75/25,783.31
  6. Step 6: Final answer
    x = 65,279.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.