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Finding the Third Proportional to 27,465 and 40,225

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Solution

The third proportional to 27,465 and 40,225 is: 58,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465 : 40,225 = 40,225 : x
  2. Step 2: Convert to fraction form
    27,465/40,225 = 40,225/x
  3. Step 3: Cross multiply
    27,465x = 40,225 × 40,225
  4. Step 4: Simplify right side
    27,465x = 1,618,050,625
  5. Step 5: Solve for x
    x = 1,618,050,625/27,465
  6. Step 6: Final answer
    x = 58,913.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.