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Finding the Third Proportional to 46,212 and 66,035.25

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Solution

The third proportional to 46,212 and 66,035.25 is: 94,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212 : 66,035.25 = 66,035.25 : x
  2. Step 2: Convert to fraction form
    46,212/66,035.25 = 66,035.25/x
  3. Step 3: Cross multiply
    46,212x = 66,035.25 × 66,035.25
  4. Step 4: Simplify right side
    46,212x = 4,360,654,242.56
  5. Step 5: Solve for x
    x = 4,360,654,242.56/46,212
  6. Step 6: Final answer
    x = 94,361.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.