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Finding the Third Proportional to 21,011.63 and 43,970.63

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Solution

The third proportional to 21,011.63 and 43,970.63 is: 92,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.63 : 43,970.63 = 43,970.63 : x
  2. Step 2: Convert to fraction form
    21,011.63/43,970.63 = 43,970.63/x
  3. Step 3: Cross multiply
    21,011.63x = 43,970.63 × 43,970.63
  4. Step 4: Simplify right side
    21,011.63x = 1,933,415,862.89
  5. Step 5: Solve for x
    x = 1,933,415,862.89/21,011.63
  6. Step 6: Final answer
    x = 92,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.