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Finding the Third Proportional to 10,284.75 and 22,127.63

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Solution

The third proportional to 10,284.75 and 22,127.63 is: 47,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.75 : 22,127.63 = 22,127.63 : x
  2. Step 2: Convert to fraction form
    10,284.75/22,127.63 = 22,127.63/x
  3. Step 3: Cross multiply
    10,284.75x = 22,127.63 × 22,127.63
  4. Step 4: Simplify right side
    10,284.75x = 489,631,788.14
  5. Step 5: Solve for x
    x = 489,631,788.14/10,284.75
  6. Step 6: Final answer
    x = 47,607.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.