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Finding the Third Proportional to 4,542.01 and 9,740.72

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Solution

The third proportional to 4,542.01 and 9,740.72 is: 20,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.01 : 9,740.72 = 9,740.72 : x
  2. Step 2: Convert to fraction form
    4,542.01/9,740.72 = 9,740.72/x
  3. Step 3: Cross multiply
    4,542.01x = 9,740.72 × 9,740.72
  4. Step 4: Simplify right side
    4,542.01x = 94,881,715.92
  5. Step 5: Solve for x
    x = 94,881,715.92/4,542.01
  6. Step 6: Final answer
    x = 20,889.80

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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.