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Finding the Third Proportional to 30,582 and 63,130

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Solution

The third proportional to 30,582 and 63,130 is: 130,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 63,130 = 63,130 : x
  2. Step 2: Convert to fraction form
    30,582/63,130 = 63,130/x
  3. Step 3: Cross multiply
    30,582x = 63,130 × 63,130
  4. Step 4: Simplify right side
    30,582x = 3,985,396,900
  5. Step 5: Solve for x
    x = 3,985,396,900/30,582
  6. Step 6: Final answer
    x = 130,318.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.