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Finding the Third Proportional to 30,673.94 and 65,721.88

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Solution

The third proportional to 30,673.94 and 65,721.88 is: 140,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.94 : 65,721.88 = 65,721.88 : x
  2. Step 2: Convert to fraction form
    30,673.94/65,721.88 = 65,721.88/x
  3. Step 3: Cross multiply
    30,673.94x = 65,721.88 × 65,721.88
  4. Step 4: Simplify right side
    30,673.94x = 4,319,364,853.52
  5. Step 5: Solve for x
    x = 4,319,364,853.52/30,673.94
  6. Step 6: Final answer
    x = 140,815.47

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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.