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Finding the Third Proportional to 12,615.75 and 19,792.69

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Solution

The third proportional to 12,615.75 and 19,792.69 is: 31,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.75 : 19,792.69 = 19,792.69 : x
  2. Step 2: Convert to fraction form
    12,615.75/19,792.69 = 19,792.69/x
  3. Step 3: Cross multiply
    12,615.75x = 19,792.69 × 19,792.69
  4. Step 4: Simplify right side
    12,615.75x = 391,750,478.47
  5. Step 5: Solve for x
    x = 391,750,478.47/12,615.75
  6. Step 6: Final answer
    x = 31,052.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.