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Finding the Third Proportional to 34,763.63 and 74,768.63

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Solution

The third proportional to 34,763.63 and 74,768.63 is: 160,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,763.63 : 74,768.63 = 74,768.63 : x
  2. Step 2: Convert to fraction form
    34,763.63/74,768.63 = 74,768.63/x
  3. Step 3: Cross multiply
    34,763.63x = 74,768.63 × 74,768.63
  4. Step 4: Simplify right side
    34,763.63x = 5,590,347,284.39
  5. Step 5: Solve for x
    x = 5,590,347,284.39/34,763.63
  6. Step 6: Final answer
    x = 160,810.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.