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Finding the Third Proportional to 10,909.69 and 25,056.84

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Solution

The third proportional to 10,909.69 and 25,056.84 is: 57,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 25,056.84 = 25,056.84 : x
  2. Step 2: Convert to fraction form
    10,909.69/25,056.84 = 25,056.84/x
  3. Step 3: Cross multiply
    10,909.69x = 25,056.84 × 25,056.84
  4. Step 4: Simplify right side
    10,909.69x = 627,845,418.71
  5. Step 5: Solve for x
    x = 627,845,418.71/10,909.69
  6. Step 6: Final answer
    x = 57,549.35

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.