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Finding the Third Proportional to 16,455.66 and 35,705.81

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Solution

The third proportional to 16,455.66 and 35,705.81 is: 77,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.66 : 35,705.81 = 35,705.81 : x
  2. Step 2: Convert to fraction form
    16,455.66/35,705.81 = 35,705.81/x
  3. Step 3: Cross multiply
    16,455.66x = 35,705.81 × 35,705.81
  4. Step 4: Simplify right side
    16,455.66x = 1,274,905,046.29
  5. Step 5: Solve for x
    x = 1,274,905,046.29/16,455.66
  6. Step 6: Final answer
    x = 77,475.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.