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Finding the Third Proportional to 13,870.41 and 30,335.63

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Solution

The third proportional to 13,870.41 and 30,335.63 is: 66,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.41 : 30,335.63 = 30,335.63 : x
  2. Step 2: Convert to fraction form
    13,870.41/30,335.63 = 30,335.63/x
  3. Step 3: Cross multiply
    13,870.41x = 30,335.63 × 30,335.63
  4. Step 4: Simplify right side
    13,870.41x = 920,250,144.14
  5. Step 5: Solve for x
    x = 920,250,144.14/13,870.41
  6. Step 6: Final answer
    x = 66,346.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.