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Finding the Third Proportional to 19,946.66 and 29,534.84

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Solution

The third proportional to 19,946.66 and 29,534.84 is: 43,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946.66 : 29,534.84 = 29,534.84 : x
  2. Step 2: Convert to fraction form
    19,946.66/29,534.84 = 29,534.84/x
  3. Step 3: Cross multiply
    19,946.66x = 29,534.84 × 29,534.84
  4. Step 4: Simplify right side
    19,946.66x = 872,306,995.34
  5. Step 5: Solve for x
    x = 872,306,995.34/19,946.66
  6. Step 6: Final answer
    x = 43,731.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.