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Finding the Third Proportional to 35,528.63 and 76,433.63

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Solution

The third proportional to 35,528.63 and 76,433.63 is: 164,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,528.63 : 76,433.63 = 76,433.63 : x
  2. Step 2: Convert to fraction form
    35,528.63/76,433.63 = 76,433.63/x
  3. Step 3: Cross multiply
    35,528.63x = 76,433.63 × 76,433.63
  4. Step 4: Simplify right side
    35,528.63x = 5,842,099,030.64
  5. Step 5: Solve for x
    x = 5,842,099,030.64/35,528.63
  6. Step 6: Final answer
    x = 164,433.58

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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.