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Finding the Third Proportional to 15,664.01 and 34,428.16

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Solution

The third proportional to 15,664.01 and 34,428.16 is: 75,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.01 : 34,428.16 = 34,428.16 : x
  2. Step 2: Convert to fraction form
    15,664.01/34,428.16 = 34,428.16/x
  3. Step 3: Cross multiply
    15,664.01x = 34,428.16 × 34,428.16
  4. Step 4: Simplify right side
    15,664.01x = 1,185,298,480.71
  5. Step 5: Solve for x
    x = 1,185,298,480.71/15,664.01
  6. Step 6: Final answer
    x = 75,670.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.