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Finding the Third Proportional to 15,111.75 and 32,409.75

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Solution

The third proportional to 15,111.75 and 32,409.75 is: 69,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.75 : 32,409.75 = 32,409.75 : x
  2. Step 2: Convert to fraction form
    15,111.75/32,409.75 = 32,409.75/x
  3. Step 3: Cross multiply
    15,111.75x = 32,409.75 × 32,409.75
  4. Step 4: Simplify right side
    15,111.75x = 1,050,391,895.06
  5. Step 5: Solve for x
    x = 1,050,391,895.06/15,111.75
  6. Step 6: Final answer
    x = 69,508.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.