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Finding the Third Proportional to 9,052 and 14,399

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Solution

The third proportional to 9,052 and 14,399 is: 22,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052 : 14,399 = 14,399 : x
  2. Step 2: Convert to fraction form
    9,052/14,399 = 14,399/x
  3. Step 3: Cross multiply
    9,052x = 14,399 × 14,399
  4. Step 4: Simplify right side
    9,052x = 207,331,201
  5. Step 5: Solve for x
    x = 207,331,201/9,052
  6. Step 6: Final answer
    x = 22,904.46

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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.