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Finding the Third Proportional to 10,061.44 and 21,852.84

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Solution

The third proportional to 10,061.44 and 21,852.84 is: 47,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.44 : 21,852.84 = 21,852.84 : x
  2. Step 2: Convert to fraction form
    10,061.44/21,852.84 = 21,852.84/x
  3. Step 3: Cross multiply
    10,061.44x = 21,852.84 × 21,852.84
  4. Step 4: Simplify right side
    10,061.44x = 477,546,779.96
  5. Step 5: Solve for x
    x = 477,546,779.96/10,061.44
  6. Step 6: Final answer
    x = 47,463.08

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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.