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Finding the Third Proportional to 2,056.01 and 4,502.46

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Solution

The third proportional to 2,056.01 and 4,502.46 is: 9,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.01 : 4,502.46 = 4,502.46 : x
  2. Step 2: Convert to fraction form
    2,056.01/4,502.46 = 4,502.46/x
  3. Step 3: Cross multiply
    2,056.01x = 4,502.46 × 4,502.46
  4. Step 4: Simplify right side
    2,056.01x = 20,272,154.49
  5. Step 5: Solve for x
    x = 20,272,154.49/2,056.01
  6. Step 6: Final answer
    x = 9,859.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.