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Finding the Third Proportional to 11,425 and 17,281.50

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Solution

The third proportional to 11,425 and 17,281.50 is: 26,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425 : 17,281.50 = 17,281.50 : x
  2. Step 2: Convert to fraction form
    11,425/17,281.50 = 17,281.50/x
  3. Step 3: Cross multiply
    11,425x = 17,281.50 × 17,281.50
  4. Step 4: Simplify right side
    11,425x = 298,650,242.25
  5. Step 5: Solve for x
    x = 298,650,242.25/11,425
  6. Step 6: Final answer
    x = 26,140.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.