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Finding the Third Proportional to 29,581.63 and 63,673.88

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Solution

The third proportional to 29,581.63 and 63,673.88 is: 137,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,581.63 : 63,673.88 = 63,673.88 : x
  2. Step 2: Convert to fraction form
    29,581.63/63,673.88 = 63,673.88/x
  3. Step 3: Cross multiply
    29,581.63x = 63,673.88 × 63,673.88
  4. Step 4: Simplify right side
    29,581.63x = 4,054,362,357.52
  5. Step 5: Solve for x
    x = 4,054,362,357.52/29,581.63
  6. Step 6: Final answer
    x = 137,056.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.