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Finding the Third Proportional to 25,245 and 28,066.50

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Solution

The third proportional to 25,245 and 28,066.50 is: 31,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245 : 28,066.50 = 28,066.50 : x
  2. Step 2: Convert to fraction form
    25,245/28,066.50 = 28,066.50/x
  3. Step 3: Cross multiply
    25,245x = 28,066.50 × 28,066.50
  4. Step 4: Simplify right side
    25,245x = 787,728,422.25
  5. Step 5: Solve for x
    x = 787,728,422.25/25,245
  6. Step 6: Final answer
    x = 31,203.34

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.