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Finding the Third Proportional to 24,457 and 34,981.50

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Solution

The third proportional to 24,457 and 34,981.50 is: 50,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457 : 34,981.50 = 34,981.50 : x
  2. Step 2: Convert to fraction form
    24,457/34,981.50 = 34,981.50/x
  3. Step 3: Cross multiply
    24,457x = 34,981.50 × 34,981.50
  4. Step 4: Simplify right side
    24,457x = 1,223,705,342.25
  5. Step 5: Solve for x
    x = 1,223,705,342.25/24,457
  6. Step 6: Final answer
    x = 50,034.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.