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Finding the Third Proportional to 12,886.59 and 30,109.22

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Solution

The third proportional to 12,886.59 and 30,109.22 is: 70,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.59 : 30,109.22 = 30,109.22 : x
  2. Step 2: Convert to fraction form
    12,886.59/30,109.22 = 30,109.22/x
  3. Step 3: Cross multiply
    12,886.59x = 30,109.22 × 30,109.22
  4. Step 4: Simplify right side
    12,886.59x = 906,565,053.74
  5. Step 5: Solve for x
    x = 906,565,053.74/12,886.59
  6. Step 6: Final answer
    x = 70,349.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.