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Finding the Third Proportional to 21,812.63 and 34,595.44

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Solution

The third proportional to 21,812.63 and 34,595.44 is: 54,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.63 : 34,595.44 = 34,595.44 : x
  2. Step 2: Convert to fraction form
    21,812.63/34,595.44 = 34,595.44/x
  3. Step 3: Cross multiply
    21,812.63x = 34,595.44 × 34,595.44
  4. Step 4: Simplify right side
    21,812.63x = 1,196,844,295.82
  5. Step 5: Solve for x
    x = 1,196,844,295.82/21,812.63
  6. Step 6: Final answer
    x = 54,869.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.