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Finding the Third Proportional to 43,016.06 and 64,298.81

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Solution

The third proportional to 43,016.06 and 64,298.81 is: 96,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,016.06 : 64,298.81 = 64,298.81 : x
  2. Step 2: Convert to fraction form
    43,016.06/64,298.81 = 64,298.81/x
  3. Step 3: Cross multiply
    43,016.06x = 64,298.81 × 64,298.81
  4. Step 4: Simplify right side
    43,016.06x = 4,134,337,288.91
  5. Step 5: Solve for x
    x = 4,134,337,288.91/43,016.06
  6. Step 6: Final answer
    x = 96,111.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.