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Finding the Third Proportional to 46,164 and 66,012

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Solution

The third proportional to 46,164 and 66,012 is: 94,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,164 : 66,012 = 66,012 : x
  2. Step 2: Convert to fraction form
    46,164/66,012 = 66,012/x
  3. Step 3: Cross multiply
    46,164x = 66,012 × 66,012
  4. Step 4: Simplify right side
    46,164x = 4,357,584,144
  5. Step 5: Solve for x
    x = 4,357,584,144/46,164
  6. Step 6: Final answer
    x = 94,393.56

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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.