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Finding the Third Proportional to 26,319 and 41,668.50

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Solution

The third proportional to 26,319 and 41,668.50 is: 65,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319 : 41,668.50 = 41,668.50 : x
  2. Step 2: Convert to fraction form
    26,319/41,668.50 = 41,668.50/x
  3. Step 3: Cross multiply
    26,319x = 41,668.50 × 41,668.50
  4. Step 4: Simplify right side
    26,319x = 1,736,263,892.25
  5. Step 5: Solve for x
    x = 1,736,263,892.25/26,319
  6. Step 6: Final answer
    x = 65,969.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.