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Finding the Third Proportional to 10,362 and 14,595

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Solution

The third proportional to 10,362 and 14,595 is: 20,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 14,595 = 14,595 : x
  2. Step 2: Convert to fraction form
    10,362/14,595 = 14,595/x
  3. Step 3: Cross multiply
    10,362x = 14,595 × 14,595
  4. Step 4: Simplify right side
    10,362x = 213,014,025
  5. Step 5: Solve for x
    x = 213,014,025/10,362
  6. Step 6: Final answer
    x = 20,557.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.