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Finding the Third Proportional to 29,940.64 and 46,968.09

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Solution

The third proportional to 29,940.64 and 46,968.09 is: 73,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,940.64 : 46,968.09 = 46,968.09 : x
  2. Step 2: Convert to fraction form
    29,940.64/46,968.09 = 46,968.09/x
  3. Step 3: Cross multiply
    29,940.64x = 46,968.09 × 46,968.09
  4. Step 4: Simplify right side
    29,940.64x = 2,206,001,830.51
  5. Step 5: Solve for x
    x = 2,206,001,830.51/29,940.64
  6. Step 6: Final answer
    x = 73,679.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.