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Finding the Third Proportional to 2,777.63 and 7,490.81

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Solution

The third proportional to 2,777.63 and 7,490.81 is: 20,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.63 : 7,490.81 = 7,490.81 : x
  2. Step 2: Convert to fraction form
    2,777.63/7,490.81 = 7,490.81/x
  3. Step 3: Cross multiply
    2,777.63x = 7,490.81 × 7,490.81
  4. Step 4: Simplify right side
    2,777.63x = 56,112,271.91
  5. Step 5: Solve for x
    x = 56,112,271.91/2,777.63
  6. Step 6: Final answer
    x = 20,201.53

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.