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Finding the Third Proportional to 14,965 and 23,475

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Solution

The third proportional to 14,965 and 23,475 is: 36,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965 : 23,475 = 23,475 : x
  2. Step 2: Convert to fraction form
    14,965/23,475 = 23,475/x
  3. Step 3: Cross multiply
    14,965x = 23,475 × 23,475
  4. Step 4: Simplify right side
    14,965x = 551,075,625
  5. Step 5: Solve for x
    x = 551,075,625/14,965
  6. Step 6: Final answer
    x = 36,824.30

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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.