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Finding the Third Proportional to 4,438.75 and 9,712.63

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Solution

The third proportional to 4,438.75 and 9,712.63 is: 21,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.75 : 9,712.63 = 9,712.63 : x
  2. Step 2: Convert to fraction form
    4,438.75/9,712.63 = 9,712.63/x
  3. Step 3: Cross multiply
    4,438.75x = 9,712.63 × 9,712.63
  4. Step 4: Simplify right side
    4,438.75x = 94,335,084.39
  5. Step 5: Solve for x
    x = 94,335,084.39/4,438.75
  6. Step 6: Final answer
    x = 21,252.62

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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.