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Finding the Third Proportional to 17,779.50 and 24,107.63

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Solution

The third proportional to 17,779.50 and 24,107.63 is: 32,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.50 : 24,107.63 = 24,107.63 : x
  2. Step 2: Convert to fraction form
    17,779.50/24,107.63 = 24,107.63/x
  3. Step 3: Cross multiply
    17,779.50x = 24,107.63 × 24,107.63
  4. Step 4: Simplify right side
    17,779.50x = 581,177,583.14
  5. Step 5: Solve for x
    x = 581,177,583.14/17,779.50
  6. Step 6: Final answer
    x = 32,688.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.