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Finding the Third Proportional to 12,885.75 and 28,262.25

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Solution

The third proportional to 12,885.75 and 28,262.25 is: 61,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.75 : 28,262.25 = 28,262.25 : x
  2. Step 2: Convert to fraction form
    12,885.75/28,262.25 = 28,262.25/x
  3. Step 3: Cross multiply
    12,885.75x = 28,262.25 × 28,262.25
  4. Step 4: Simplify right side
    12,885.75x = 798,754,775.06
  5. Step 5: Solve for x
    x = 798,754,775.06/12,885.75
  6. Step 6: Final answer
    x = 61,987.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.