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Finding the Third Proportional to 14,537 and 23,057

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Solution

The third proportional to 14,537 and 23,057 is: 36,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537 : 23,057 = 23,057 : x
  2. Step 2: Convert to fraction form
    14,537/23,057 = 23,057/x
  3. Step 3: Cross multiply
    14,537x = 23,057 × 23,057
  4. Step 4: Simplify right side
    14,537x = 531,625,249
  5. Step 5: Solve for x
    x = 531,625,249/14,537
  6. Step 6: Final answer
    x = 36,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.