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Finding the Third Proportional to 4,527.14 and 9,368.16

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Solution

The third proportional to 4,527.14 and 9,368.16 is: 19,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.14 : 9,368.16 = 9,368.16 : x
  2. Step 2: Convert to fraction form
    4,527.14/9,368.16 = 9,368.16/x
  3. Step 3: Cross multiply
    4,527.14x = 9,368.16 × 9,368.16
  4. Step 4: Simplify right side
    4,527.14x = 87,762,351.52
  5. Step 5: Solve for x
    x = 87,762,351.52/4,527.14
  6. Step 6: Final answer
    x = 19,385.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.