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Finding the Third Proportional to 17,707.50 and 24,810.75

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Solution

The third proportional to 17,707.50 and 24,810.75 is: 34,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.50 : 24,810.75 = 24,810.75 : x
  2. Step 2: Convert to fraction form
    17,707.50/24,810.75 = 24,810.75/x
  3. Step 3: Cross multiply
    17,707.50x = 24,810.75 × 24,810.75
  4. Step 4: Simplify right side
    17,707.50x = 615,573,315.56
  5. Step 5: Solve for x
    x = 615,573,315.56/17,707.50
  6. Step 6: Final answer
    x = 34,763.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.