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Finding the Third Proportional to 30,556 and 63,060

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Solution

The third proportional to 30,556 and 63,060 is: 130,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556 : 63,060 = 63,060 : x
  2. Step 2: Convert to fraction form
    30,556/63,060 = 63,060/x
  3. Step 3: Cross multiply
    30,556x = 63,060 × 63,060
  4. Step 4: Simplify right side
    30,556x = 3,976,563,600
  5. Step 5: Solve for x
    x = 3,976,563,600/30,556
  6. Step 6: Final answer
    x = 130,140.19

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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.