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Finding the Third Proportional to 19,468 and 30,066

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Solution

The third proportional to 19,468 and 30,066 is: 46,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468 : 30,066 = 30,066 : x
  2. Step 2: Convert to fraction form
    19,468/30,066 = 30,066/x
  3. Step 3: Cross multiply
    19,468x = 30,066 × 30,066
  4. Step 4: Simplify right side
    19,468x = 903,964,356
  5. Step 5: Solve for x
    x = 903,964,356/19,468
  6. Step 6: Final answer
    x = 46,433.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.