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Finding the Third Proportional to 30,429.94 and 65,719.88

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Solution

The third proportional to 30,429.94 and 65,719.88 is: 141,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.94 : 65,719.88 = 65,719.88 : x
  2. Step 2: Convert to fraction form
    30,429.94/65,719.88 = 65,719.88/x
  3. Step 3: Cross multiply
    30,429.94x = 65,719.88 × 65,719.88
  4. Step 4: Simplify right side
    30,429.94x = 4,319,101,970.02
  5. Step 5: Solve for x
    x = 4,319,101,970.02/30,429.94
  6. Step 6: Final answer
    x = 141,935.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.