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Finding the Third Proportional to 13,946.25 and 30,656.63

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Solution

The third proportional to 13,946.25 and 30,656.63 is: 67,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.25 : 30,656.63 = 30,656.63 : x
  2. Step 2: Convert to fraction form
    13,946.25/30,656.63 = 30,656.63/x
  3. Step 3: Cross multiply
    13,946.25x = 30,656.63 × 30,656.63
  4. Step 4: Simplify right side
    13,946.25x = 939,828,656.39
  5. Step 5: Solve for x
    x = 939,828,656.39/13,946.25
  6. Step 6: Final answer
    x = 67,389.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.