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Finding the Third Proportional to 8,952.47 and 19,497.94

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Solution

The third proportional to 8,952.47 and 19,497.94 is: 42,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.47 : 19,497.94 = 19,497.94 : x
  2. Step 2: Convert to fraction form
    8,952.47/19,497.94 = 19,497.94/x
  3. Step 3: Cross multiply
    8,952.47x = 19,497.94 × 19,497.94
  4. Step 4: Simplify right side
    8,952.47x = 380,169,566.75
  5. Step 5: Solve for x
    x = 380,169,566.75/8,952.47
  6. Step 6: Final answer
    x = 42,465.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.