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Finding the Third Proportional to 46,700 and 71,018

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Solution

The third proportional to 46,700 and 71,018 is: 107,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,700 : 71,018 = 71,018 : x
  2. Step 2: Convert to fraction form
    46,700/71,018 = 71,018/x
  3. Step 3: Cross multiply
    46,700x = 71,018 × 71,018
  4. Step 4: Simplify right side
    46,700x = 5,043,556,324
  5. Step 5: Solve for x
    x = 5,043,556,324/46,700
  6. Step 6: Final answer
    x = 107,999.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.