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Finding the Third Proportional to 14,980.78 and 32,297.48

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Solution

The third proportional to 14,980.78 and 32,297.48 is: 69,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.78 : 32,297.48 = 32,297.48 : x
  2. Step 2: Convert to fraction form
    14,980.78/32,297.48 = 32,297.48/x
  3. Step 3: Cross multiply
    14,980.78x = 32,297.48 × 32,297.48
  4. Step 4: Simplify right side
    14,980.78x = 1,043,127,496.95
  5. Step 5: Solve for x
    x = 1,043,127,496.95/14,980.78
  6. Step 6: Final answer
    x = 69,631.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.