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Finding the Third Proportional to 4,953.66 and 10,746.42

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Solution

The third proportional to 4,953.66 and 10,746.42 is: 23,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.66 : 10,746.42 = 10,746.42 : x
  2. Step 2: Convert to fraction form
    4,953.66/10,746.42 = 10,746.42/x
  3. Step 3: Cross multiply
    4,953.66x = 10,746.42 × 10,746.42
  4. Step 4: Simplify right side
    4,953.66x = 115,485,583.12
  5. Step 5: Solve for x
    x = 115,485,583.12/4,953.66
  6. Step 6: Final answer
    x = 23,313.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.