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Finding the Third Proportional to 30,714 and 45,090

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Solution

The third proportional to 30,714 and 45,090 is: 66,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714 : 45,090 = 45,090 : x
  2. Step 2: Convert to fraction form
    30,714/45,090 = 45,090/x
  3. Step 3: Cross multiply
    30,714x = 45,090 × 45,090
  4. Step 4: Simplify right side
    30,714x = 2,033,108,100
  5. Step 5: Solve for x
    x = 2,033,108,100/30,714
  6. Step 6: Final answer
    x = 66,194.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.