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Finding the Third Proportional to 30,645 and 43,363.50

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Solution

The third proportional to 30,645 and 43,363.50 is: 61,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 43,363.50 = 43,363.50 : x
  2. Step 2: Convert to fraction form
    30,645/43,363.50 = 43,363.50/x
  3. Step 3: Cross multiply
    30,645x = 43,363.50 × 43,363.50
  4. Step 4: Simplify right side
    30,645x = 1,880,393,132.25
  5. Step 5: Solve for x
    x = 1,880,393,132.25/30,645
  6. Step 6: Final answer
    x = 61,360.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.