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Finding the Third Proportional to 4,541.42 and 9,739.74

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Solution

The third proportional to 4,541.42 and 9,739.74 is: 20,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.42 : 9,739.74 = 9,739.74 : x
  2. Step 2: Convert to fraction form
    4,541.42/9,739.74 = 9,739.74/x
  3. Step 3: Cross multiply
    4,541.42x = 9,739.74 × 9,739.74
  4. Step 4: Simplify right side
    4,541.42x = 94,862,454.23
  5. Step 5: Solve for x
    x = 94,862,454.23/4,541.42
  6. Step 6: Final answer
    x = 20,888.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.