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Finding the Third Proportional to 13,810.50 and 24,355.69

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Solution

The third proportional to 13,810.50 and 24,355.69 is: 42,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 24,355.69 = 24,355.69 : x
  2. Step 2: Convert to fraction form
    13,810.50/24,355.69 = 24,355.69/x
  3. Step 3: Cross multiply
    13,810.50x = 24,355.69 × 24,355.69
  4. Step 4: Simplify right side
    13,810.50x = 593,199,513.60
  5. Step 5: Solve for x
    x = 593,199,513.60/13,810.50
  6. Step 6: Final answer
    x = 42,952.79

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.