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Finding the Third Proportional to 46,797 and 76,406.63

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Solution

The third proportional to 46,797 and 76,406.63 is: 124,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,797 : 76,406.63 = 76,406.63 : x
  2. Step 2: Convert to fraction form
    46,797/76,406.63 = 76,406.63/x
  3. Step 3: Cross multiply
    46,797x = 76,406.63 × 76,406.63
  4. Step 4: Simplify right side
    46,797x = 5,837,972,343.89
  5. Step 5: Solve for x
    x = 5,837,972,343.89/46,797
  6. Step 6: Final answer
    x = 124,751.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.