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Finding the Third Proportional to 14,604 and 23,265

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Solution

The third proportional to 14,604 and 23,265 is: 37,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604 : 23,265 = 23,265 : x
  2. Step 2: Convert to fraction form
    14,604/23,265 = 23,265/x
  3. Step 3: Cross multiply
    14,604x = 23,265 × 23,265
  4. Step 4: Simplify right side
    14,604x = 541,260,225
  5. Step 5: Solve for x
    x = 541,260,225/14,604
  6. Step 6: Final answer
    x = 37,062.46

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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.