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Finding the Third Proportional to 46,964.81 and 72,186.19

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Solution

The third proportional to 46,964.81 and 72,186.19 is: 110,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,964.81 : 72,186.19 = 72,186.19 : x
  2. Step 2: Convert to fraction form
    46,964.81/72,186.19 = 72,186.19/x
  3. Step 3: Cross multiply
    46,964.81x = 72,186.19 × 72,186.19
  4. Step 4: Simplify right side
    46,964.81x = 5,210,845,665.79
  5. Step 5: Solve for x
    x = 5,210,845,665.79/46,964.81
  6. Step 6: Final answer
    x = 110,952.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.