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Finding the Third Proportional to 30,414.66 and 65,032.88

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Solution

The third proportional to 30,414.66 and 65,032.88 is: 139,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.66 : 65,032.88 = 65,032.88 : x
  2. Step 2: Convert to fraction form
    30,414.66/65,032.88 = 65,032.88/x
  3. Step 3: Cross multiply
    30,414.66x = 65,032.88 × 65,032.88
  4. Step 4: Simplify right side
    30,414.66x = 4,229,274,830.77
  5. Step 5: Solve for x
    x = 4,229,274,830.77/30,414.66
  6. Step 6: Final answer
    x = 139,053.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.