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Finding the Third Proportional to 46,714.50 and 70,629.75

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Solution

The third proportional to 46,714.50 and 70,629.75 is: 106,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714.50 : 70,629.75 = 70,629.75 : x
  2. Step 2: Convert to fraction form
    46,714.50/70,629.75 = 70,629.75/x
  3. Step 3: Cross multiply
    46,714.50x = 70,629.75 × 70,629.75
  4. Step 4: Simplify right side
    46,714.50x = 4,988,561,585.06
  5. Step 5: Solve for x
    x = 4,988,561,585.06/46,714.50
  6. Step 6: Final answer
    x = 106,788.29

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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.