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Finding the Third Proportional to 4,973.27 and 10,461.02

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Solution

The third proportional to 4,973.27 and 10,461.02 is: 22,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.27 : 10,461.02 = 10,461.02 : x
  2. Step 2: Convert to fraction form
    4,973.27/10,461.02 = 10,461.02/x
  3. Step 3: Cross multiply
    4,973.27x = 10,461.02 × 10,461.02
  4. Step 4: Simplify right side
    4,973.27x = 109,433,011.36
  5. Step 5: Solve for x
    x = 109,433,011.36/4,973.27
  6. Step 6: Final answer
    x = 22,004.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.