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Finding the Third Proportional to 8,641.69 and 13,041.84

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Solution

The third proportional to 8,641.69 and 13,041.84 is: 19,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 13,041.84 = 13,041.84 : x
  2. Step 2: Convert to fraction form
    8,641.69/13,041.84 = 13,041.84/x
  3. Step 3: Cross multiply
    8,641.69x = 13,041.84 × 13,041.84
  4. Step 4: Simplify right side
    8,641.69x = 170,089,688.40
  5. Step 5: Solve for x
    x = 170,089,688.40/8,641.69
  6. Step 6: Final answer
    x = 19,682.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.