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Finding the Third Proportional to 46,818 and 76,060.50

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Solution

The third proportional to 46,818 and 76,060.50 is: 123,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,818 : 76,060.50 = 76,060.50 : x
  2. Step 2: Convert to fraction form
    46,818/76,060.50 = 76,060.50/x
  3. Step 3: Cross multiply
    46,818x = 76,060.50 × 76,060.50
  4. Step 4: Simplify right side
    46,818x = 5,785,199,660.25
  5. Step 5: Solve for x
    x = 5,785,199,660.25/46,818
  6. Step 6: Final answer
    x = 123,567.85

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.