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Finding the Third Proportional to 46,158 and 66,007.13

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Solution

The third proportional to 46,158 and 66,007.13 is: 94,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,158 : 66,007.13 = 66,007.13 : x
  2. Step 2: Convert to fraction form
    46,158/66,007.13 = 66,007.13/x
  3. Step 3: Cross multiply
    46,158x = 66,007.13 × 66,007.13
  4. Step 4: Simplify right side
    46,158x = 4,356,940,550.77
  5. Step 5: Solve for x
    x = 4,356,940,550.77/46,158
  6. Step 6: Final answer
    x = 94,391.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.