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Finding the Third Proportional to 46,004.63 and 69,697.13

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Solution

The third proportional to 46,004.63 and 69,697.13 is: 105,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,004.63 : 69,697.13 = 69,697.13 : x
  2. Step 2: Convert to fraction form
    46,004.63/69,697.13 = 69,697.13/x
  3. Step 3: Cross multiply
    46,004.63x = 69,697.13 × 69,697.13
  4. Step 4: Simplify right side
    46,004.63x = 4,857,689,233.27
  5. Step 5: Solve for x
    x = 4,857,689,233.27/46,004.63
  6. Step 6: Final answer
    x = 105,591.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.