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Finding the Third Proportional to 46,706 and 64,226

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Solution

The third proportional to 46,706 and 64,226 is: 88,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,706 : 64,226 = 64,226 : x
  2. Step 2: Convert to fraction form
    46,706/64,226 = 64,226/x
  3. Step 3: Cross multiply
    46,706x = 64,226 × 64,226
  4. Step 4: Simplify right side
    46,706x = 4,124,979,076
  5. Step 5: Solve for x
    x = 4,124,979,076/46,706
  6. Step 6: Final answer
    x = 88,317.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.