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Finding the Third Proportional to 14,590 and 22,588

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Solution

The third proportional to 14,590 and 22,588 is: 34,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590 : 22,588 = 22,588 : x
  2. Step 2: Convert to fraction form
    14,590/22,588 = 22,588/x
  3. Step 3: Cross multiply
    14,590x = 22,588 × 22,588
  4. Step 4: Simplify right side
    14,590x = 510,217,744
  5. Step 5: Solve for x
    x = 510,217,744/14,590
  6. Step 6: Final answer
    x = 34,970.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.