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Finding the Third Proportional to 4,790.81 and 10,157.06

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Solution

The third proportional to 4,790.81 and 10,157.06 is: 21,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790.81 : 10,157.06 = 10,157.06 : x
  2. Step 2: Convert to fraction form
    4,790.81/10,157.06 = 10,157.06/x
  3. Step 3: Cross multiply
    4,790.81x = 10,157.06 × 10,157.06
  4. Step 4: Simplify right side
    4,790.81x = 103,165,918.63
  5. Step 5: Solve for x
    x = 103,165,918.63/4,790.81
  6. Step 6: Final answer
    x = 21,534.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.