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Finding the Third Proportional to 10,068.25 and 23,688.63

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Solution

The third proportional to 10,068.25 and 23,688.63 is: 55,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.25 : 23,688.63 = 23,688.63 : x
  2. Step 2: Convert to fraction form
    10,068.25/23,688.63 = 23,688.63/x
  3. Step 3: Cross multiply
    10,068.25x = 23,688.63 × 23,688.63
  4. Step 4: Simplify right side
    10,068.25x = 561,150,954.39
  5. Step 5: Solve for x
    x = 561,150,954.39/10,068.25
  6. Step 6: Final answer
    x = 55,734.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.