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Finding the Third Proportional to 29,705.06 and 66,051.56

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Solution

The third proportional to 29,705.06 and 66,051.56 is: 146,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.06 : 66,051.56 = 66,051.56 : x
  2. Step 2: Convert to fraction form
    29,705.06/66,051.56 = 66,051.56/x
  3. Step 3: Cross multiply
    29,705.06x = 66,051.56 × 66,051.56
  4. Step 4: Simplify right side
    29,705.06x = 4,362,808,908.69
  5. Step 5: Solve for x
    x = 4,362,808,908.69/29,705.06
  6. Step 6: Final answer
    x = 146,870.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.