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Finding the Third Proportional to 46,702 and 64,221

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Solution

The third proportional to 46,702 and 64,221 is: 88,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702 : 64,221 = 64,221 : x
  2. Step 2: Convert to fraction form
    46,702/64,221 = 64,221/x
  3. Step 3: Cross multiply
    46,702x = 64,221 × 64,221
  4. Step 4: Simplify right side
    46,702x = 4,124,336,841
  5. Step 5: Solve for x
    x = 4,124,336,841/46,702
  6. Step 6: Final answer
    x = 88,311.78

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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.