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Finding the Third Proportional to 10,588 and 14,537

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Solution

The third proportional to 10,588 and 14,537 is: 19,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 14,537 = 14,537 : x
  2. Step 2: Convert to fraction form
    10,588/14,537 = 14,537/x
  3. Step 3: Cross multiply
    10,588x = 14,537 × 14,537
  4. Step 4: Simplify right side
    10,588x = 211,324,369
  5. Step 5: Solve for x
    x = 211,324,369/10,588
  6. Step 6: Final answer
    x = 19,958.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.