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Finding the Third Proportional to 2,025 and 4,365

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Solution

The third proportional to 2,025 and 4,365 is: 9,409

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 4,365 = 4,365 : x
  2. Step 2: Convert to fraction form
    2,025/4,365 = 4,365/x
  3. Step 3: Cross multiply
    2,025x = 4,365 × 4,365
  4. Step 4: Simplify right side
    2,025x = 19,053,225
  5. Step 5: Solve for x
    x = 19,053,225/2,025
  6. Step 6: Final answer
    x = 9,409

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.