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Finding the Third Proportional to 13,502.50 and 35,566.50

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Solution

The third proportional to 13,502.50 and 35,566.50 is: 93,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.50 : 35,566.50 = 35,566.50 : x
  2. Step 2: Convert to fraction form
    13,502.50/35,566.50 = 35,566.50/x
  3. Step 3: Cross multiply
    13,502.50x = 35,566.50 × 35,566.50
  4. Step 4: Simplify right side
    13,502.50x = 1,264,975,922.25
  5. Step 5: Solve for x
    x = 1,264,975,922.25/13,502.50
  6. Step 6: Final answer
    x = 93,684.57

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These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.