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Finding the Third Proportional to 46,101.56 and 69,575.06

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Solution

The third proportional to 46,101.56 and 69,575.06 is: 105,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,101.56 : 69,575.06 = 69,575.06 : x
  2. Step 2: Convert to fraction form
    46,101.56/69,575.06 = 69,575.06/x
  3. Step 3: Cross multiply
    46,101.56x = 69,575.06 × 69,575.06
  4. Step 4: Simplify right side
    46,101.56x = 4,840,689,321.88
  5. Step 5: Solve for x
    x = 4,840,689,321.88/46,101.56
  6. Step 6: Final answer
    x = 105,000.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.