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Finding the Third Proportional to 46,211 and 66,033

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Solution

The third proportional to 46,211 and 66,033 is: 94,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,211 : 66,033 = 66,033 : x
  2. Step 2: Convert to fraction form
    46,211/66,033 = 66,033/x
  3. Step 3: Cross multiply
    46,211x = 66,033 × 66,033
  4. Step 4: Simplify right side
    46,211x = 4,360,357,089
  5. Step 5: Solve for x
    x = 4,360,357,089/46,211
  6. Step 6: Final answer
    x = 94,357.56

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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.