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Finding the Third Proportional to 34,604.63 and 53,440.31

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Solution

The third proportional to 34,604.63 and 53,440.31 is: 82,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604.63 : 53,440.31 = 53,440.31 : x
  2. Step 2: Convert to fraction form
    34,604.63/53,440.31 = 53,440.31/x
  3. Step 3: Cross multiply
    34,604.63x = 53,440.31 × 53,440.31
  4. Step 4: Simplify right side
    34,604.63x = 2,855,867,000.10
  5. Step 5: Solve for x
    x = 2,855,867,000.10/34,604.63
  6. Step 6: Final answer
    x = 82,528.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.