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Finding the Third Proportional to 10,779.19 and 16,102.41

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Solution

The third proportional to 10,779.19 and 16,102.41 is: 24,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.19 : 16,102.41 = 16,102.41 : x
  2. Step 2: Convert to fraction form
    10,779.19/16,102.41 = 16,102.41/x
  3. Step 3: Cross multiply
    10,779.19x = 16,102.41 × 16,102.41
  4. Step 4: Simplify right side
    10,779.19x = 259,287,487.04
  5. Step 5: Solve for x
    x = 259,287,487.04/10,779.19
  6. Step 6: Final answer
    x = 24,054.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.