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Finding the Third Proportional to 7,810.17 and 20,548.69

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Solution

The third proportional to 7,810.17 and 20,548.69 is: 54,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.17 : 20,548.69 = 20,548.69 : x
  2. Step 2: Convert to fraction form
    7,810.17/20,548.69 = 20,548.69/x
  3. Step 3: Cross multiply
    7,810.17x = 20,548.69 × 20,548.69
  4. Step 4: Simplify right side
    7,810.17x = 422,248,557.97
  5. Step 5: Solve for x
    x = 422,248,557.97/7,810.17
  6. Step 6: Final answer
    x = 54,063.93

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.