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Finding the Third Proportional to 30,377 and 40,435

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Solution

The third proportional to 30,377 and 40,435 is: 53,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377 : 40,435 = 40,435 : x
  2. Step 2: Convert to fraction form
    30,377/40,435 = 40,435/x
  3. Step 3: Cross multiply
    30,377x = 40,435 × 40,435
  4. Step 4: Simplify right side
    30,377x = 1,634,989,225
  5. Step 5: Solve for x
    x = 1,634,989,225/30,377
  6. Step 6: Final answer
    x = 53,823.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.