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Finding the Third Proportional to 8,465.06 and 13,100.06

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Solution

The third proportional to 8,465.06 and 13,100.06 is: 20,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.06 : 13,100.06 = 13,100.06 : x
  2. Step 2: Convert to fraction form
    8,465.06/13,100.06 = 13,100.06/x
  3. Step 3: Cross multiply
    8,465.06x = 13,100.06 × 13,100.06
  4. Step 4: Simplify right side
    8,465.06x = 171,611,637.50
  5. Step 5: Solve for x
    x = 171,611,637.50/8,465.06
  6. Step 6: Final answer
    x = 20,272.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.