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Finding the Third Proportional to 12,705.75 and 19,634.63

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Solution

The third proportional to 12,705.75 and 19,634.63 is: 30,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.75 : 19,634.63 = 19,634.63 : x
  2. Step 2: Convert to fraction form
    12,705.75/19,634.63 = 19,634.63/x
  3. Step 3: Cross multiply
    12,705.75x = 19,634.63 × 19,634.63
  4. Step 4: Simplify right side
    12,705.75x = 385,518,498.89
  5. Step 5: Solve for x
    x = 385,518,498.89/12,705.75
  6. Step 6: Final answer
    x = 30,342.05

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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.