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Finding the Third Proportional to 30,785 and 66,490

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Solution

The third proportional to 30,785 and 66,490 is: 143,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785 : 66,490 = 66,490 : x
  2. Step 2: Convert to fraction form
    30,785/66,490 = 66,490/x
  3. Step 3: Cross multiply
    30,785x = 66,490 × 66,490
  4. Step 4: Simplify right side
    30,785x = 4,420,920,100
  5. Step 5: Solve for x
    x = 4,420,920,100/30,785
  6. Step 6: Final answer
    x = 143,606.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.