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Finding the Third Proportional to 13,258.69 and 30,640.78

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Solution

The third proportional to 13,258.69 and 30,640.78 is: 70,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 30,640.78 = 30,640.78 : x
  2. Step 2: Convert to fraction form
    13,258.69/30,640.78 = 30,640.78/x
  3. Step 3: Cross multiply
    13,258.69x = 30,640.78 × 30,640.78
  4. Step 4: Simplify right side
    13,258.69x = 938,857,475.61
  5. Step 5: Solve for x
    x = 938,857,475.61/13,258.69
  6. Step 6: Final answer
    x = 70,810.74

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.