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Finding the Third Proportional to 50,417 and 66,549.50

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Solution

The third proportional to 50,417 and 66,549.50 is: 87,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,417 : 66,549.50 = 66,549.50 : x
  2. Step 2: Convert to fraction form
    50,417/66,549.50 = 66,549.50/x
  3. Step 3: Cross multiply
    50,417x = 66,549.50 × 66,549.50
  4. Step 4: Simplify right side
    50,417x = 4,428,835,950.25
  5. Step 5: Solve for x
    x = 4,428,835,950.25/50,417
  6. Step 6: Final answer
    x = 87,844.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.