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Finding the Third Proportional to 30,084 and 45,518

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Solution

The third proportional to 30,084 and 45,518 is: 68,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 45,518 = 45,518 : x
  2. Step 2: Convert to fraction form
    30,084/45,518 = 45,518/x
  3. Step 3: Cross multiply
    30,084x = 45,518 × 45,518
  4. Step 4: Simplify right side
    30,084x = 2,071,888,324
  5. Step 5: Solve for x
    x = 2,071,888,324/30,084
  6. Step 6: Final answer
    x = 68,870.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.