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Finding the Third Proportional to 30,137.06 and 61,084.13

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Solution

The third proportional to 30,137.06 and 61,084.13 is: 123,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.06 : 61,084.13 = 61,084.13 : x
  2. Step 2: Convert to fraction form
    30,137.06/61,084.13 = 61,084.13/x
  3. Step 3: Cross multiply
    30,137.06x = 61,084.13 × 61,084.13
  4. Step 4: Simplify right side
    30,137.06x = 3,731,270,327.02
  5. Step 5: Solve for x
    x = 3,731,270,327.02/30,137.06
  6. Step 6: Final answer
    x = 123,810.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.