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Finding the Third Proportional to 46,647 and 70,306.88

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Solution

The third proportional to 46,647 and 70,306.88 is: 105,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647 : 70,306.88 = 70,306.88 : x
  2. Step 2: Convert to fraction form
    46,647/70,306.88 = 70,306.88/x
  3. Step 3: Cross multiply
    46,647x = 70,306.88 × 70,306.88
  4. Step 4: Simplify right side
    46,647x = 4,943,056,672.27
  5. Step 5: Solve for x
    x = 4,943,056,672.27/46,647
  6. Step 6: Final answer
    x = 105,967.30

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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.