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Finding the Third Proportional to 23,457 and 36,855

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Solution

The third proportional to 23,457 and 36,855 is: 57,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457 : 36,855 = 36,855 : x
  2. Step 2: Convert to fraction form
    23,457/36,855 = 36,855/x
  3. Step 3: Cross multiply
    23,457x = 36,855 × 36,855
  4. Step 4: Simplify right side
    23,457x = 1,358,291,025
  5. Step 5: Solve for x
    x = 1,358,291,025/23,457
  6. Step 6: Final answer
    x = 57,905.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.