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Finding the Third Proportional to 30,814 and 44,066

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Solution

The third proportional to 30,814 and 44,066 is: 63,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814 : 44,066 = 44,066 : x
  2. Step 2: Convert to fraction form
    30,814/44,066 = 44,066/x
  3. Step 3: Cross multiply
    30,814x = 44,066 × 44,066
  4. Step 4: Simplify right side
    30,814x = 1,941,812,356
  5. Step 5: Solve for x
    x = 1,941,812,356/30,814
  6. Step 6: Final answer
    x = 63,017.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.