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Finding the Third Proportional to 24,543 and 52,969.50

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Solution

The third proportional to 24,543 and 52,969.50 is: 114,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 52,969.50 = 52,969.50 : x
  2. Step 2: Convert to fraction form
    24,543/52,969.50 = 52,969.50/x
  3. Step 3: Cross multiply
    24,543x = 52,969.50 × 52,969.50
  4. Step 4: Simplify right side
    24,543x = 2,805,767,930.25
  5. Step 5: Solve for x
    x = 2,805,767,930.25/24,543
  6. Step 6: Final answer
    x = 114,320.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.