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Finding the Third Proportional to 24,457 and 36,037

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Solution

The third proportional to 24,457 and 36,037 is: 53,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457 : 36,037 = 36,037 : x
  2. Step 2: Convert to fraction form
    24,457/36,037 = 36,037/x
  3. Step 3: Cross multiply
    24,457x = 36,037 × 36,037
  4. Step 4: Simplify right side
    24,457x = 1,298,665,369
  5. Step 5: Solve for x
    x = 1,298,665,369/24,457
  6. Step 6: Final answer
    x = 53,099.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.