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Finding the Third Proportional to 23,287.50 and 25,366.50

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Solution

The third proportional to 23,287.50 and 25,366.50 is: 27,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.50 : 25,366.50 = 25,366.50 : x
  2. Step 2: Convert to fraction form
    23,287.50/25,366.50 = 25,366.50/x
  3. Step 3: Cross multiply
    23,287.50x = 25,366.50 × 25,366.50
  4. Step 4: Simplify right side
    23,287.50x = 643,459,322.25
  5. Step 5: Solve for x
    x = 643,459,322.25/23,287.50
  6. Step 6: Final answer
    x = 27,631.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.