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Finding the Third Proportional to 30,049.88 and 64,121.63

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Solution

The third proportional to 30,049.88 and 64,121.63 is: 136,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.88 : 64,121.63 = 64,121.63 : x
  2. Step 2: Convert to fraction form
    30,049.88/64,121.63 = 64,121.63/x
  3. Step 3: Cross multiply
    30,049.88x = 64,121.63 × 64,121.63
  4. Step 4: Simplify right side
    30,049.88x = 4,111,582,792.64
  5. Step 5: Solve for x
    x = 4,111,582,792.64/30,049.88
  6. Step 6: Final answer
    x = 136,825.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.