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Finding the Third Proportional to 21,110.63 and 45,896.63

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Solution

The third proportional to 21,110.63 and 45,896.63 is: 99,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,110.63 : 45,896.63 = 45,896.63 : x
  2. Step 2: Convert to fraction form
    21,110.63/45,896.63 = 45,896.63/x
  3. Step 3: Cross multiply
    21,110.63x = 45,896.63 × 45,896.63
  4. Step 4: Simplify right side
    21,110.63x = 2,106,500,186.39
  5. Step 5: Solve for x
    x = 2,106,500,186.39/21,110.63
  6. Step 6: Final answer
    x = 99,783.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.