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Finding the Third Proportional to 46,234.50 and 66,066

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Solution

The third proportional to 46,234.50 and 66,066 is: 94,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234.50 : 66,066 = 66,066 : x
  2. Step 2: Convert to fraction form
    46,234.50/66,066 = 66,066/x
  3. Step 3: Cross multiply
    46,234.50x = 66,066 × 66,066
  4. Step 4: Simplify right side
    46,234.50x = 4,364,716,356
  5. Step 5: Solve for x
    x = 4,364,716,356/46,234.50
  6. Step 6: Final answer
    x = 94,403.88

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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.