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Finding the Third Proportional to 41,751 and 64,570.50

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Solution

The third proportional to 41,751 and 64,570.50 is: 99,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,751 : 64,570.50 = 64,570.50 : x
  2. Step 2: Convert to fraction form
    41,751/64,570.50 = 64,570.50/x
  3. Step 3: Cross multiply
    41,751x = 64,570.50 × 64,570.50
  4. Step 4: Simplify right side
    41,751x = 4,169,349,470.25
  5. Step 5: Solve for x
    x = 4,169,349,470.25/41,751
  6. Step 6: Final answer
    x = 99,862.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.