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Finding the Third Proportional to 10,057.50 and 13,405.50

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Solution

The third proportional to 10,057.50 and 13,405.50 is: 17,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.50 : 13,405.50 = 13,405.50 : x
  2. Step 2: Convert to fraction form
    10,057.50/13,405.50 = 13,405.50/x
  3. Step 3: Cross multiply
    10,057.50x = 13,405.50 × 13,405.50
  4. Step 4: Simplify right side
    10,057.50x = 179,707,430.25
  5. Step 5: Solve for x
    x = 179,707,430.25/10,057.50
  6. Step 6: Final answer
    x = 17,868.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.