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Finding the Third Proportional to 30,464 and 45,443

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Solution

The third proportional to 30,464 and 45,443 is: 67,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464 : 45,443 = 45,443 : x
  2. Step 2: Convert to fraction form
    30,464/45,443 = 45,443/x
  3. Step 3: Cross multiply
    30,464x = 45,443 × 45,443
  4. Step 4: Simplify right side
    30,464x = 2,065,066,249
  5. Step 5: Solve for x
    x = 2,065,066,249/30,464
  6. Step 6: Final answer
    x = 67,787.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.