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Finding the Third Proportional to 10,726.17 and 25,056.42

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Solution

The third proportional to 10,726.17 and 25,056.42 is: 58,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.17 : 25,056.42 = 25,056.42 : x
  2. Step 2: Convert to fraction form
    10,726.17/25,056.42 = 25,056.42/x
  3. Step 3: Cross multiply
    10,726.17x = 25,056.42 × 25,056.42
  4. Step 4: Simplify right side
    10,726.17x = 627,824,277.18
  5. Step 5: Solve for x
    x = 627,824,277.18/10,726.17
  6. Step 6: Final answer
    x = 58,532.00

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.