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Finding the Third Proportional to 41,907 and 56,947.50

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Solution

The third proportional to 41,907 and 56,947.50 is: 77,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,907 : 56,947.50 = 56,947.50 : x
  2. Step 2: Convert to fraction form
    41,907/56,947.50 = 56,947.50/x
  3. Step 3: Cross multiply
    41,907x = 56,947.50 × 56,947.50
  4. Step 4: Simplify right side
    41,907x = 3,243,017,756.25
  5. Step 5: Solve for x
    x = 3,243,017,756.25/41,907
  6. Step 6: Final answer
    x = 77,386.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.