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Finding the Third Proportional to 19,686.38 and 29,630.81

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Solution

The third proportional to 19,686.38 and 29,630.81 is: 44,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.38 : 29,630.81 = 29,630.81 : x
  2. Step 2: Convert to fraction form
    19,686.38/29,630.81 = 29,630.81/x
  3. Step 3: Cross multiply
    19,686.38x = 29,630.81 × 29,630.81
  4. Step 4: Simplify right side
    19,686.38x = 877,985,049.41
  5. Step 5: Solve for x
    x = 877,985,049.41/19,686.38
  6. Step 6: Final answer
    x = 44,598.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.