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Finding the Third Proportional to 13,695.75 and 28,444.50

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Solution

The third proportional to 13,695.75 and 28,444.50 is: 59,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.75 : 28,444.50 = 28,444.50 : x
  2. Step 2: Convert to fraction form
    13,695.75/28,444.50 = 28,444.50/x
  3. Step 3: Cross multiply
    13,695.75x = 28,444.50 × 28,444.50
  4. Step 4: Simplify right side
    13,695.75x = 809,089,580.25
  5. Step 5: Solve for x
    x = 809,089,580.25/13,695.75
  6. Step 6: Final answer
    x = 59,075.96

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.