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Finding the Third Proportional to 30,680 and 46,482

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Solution

The third proportional to 30,680 and 46,482 is: 70,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680 : 46,482 = 46,482 : x
  2. Step 2: Convert to fraction form
    30,680/46,482 = 46,482/x
  3. Step 3: Cross multiply
    30,680x = 46,482 × 46,482
  4. Step 4: Simplify right side
    30,680x = 2,160,576,324
  5. Step 5: Solve for x
    x = 2,160,576,324/30,680
  6. Step 6: Final answer
    x = 70,422.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.