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Finding the Third Proportional to 30,091.29 and 46,568.46

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Solution

The third proportional to 30,091.29 and 46,568.46 is: 72,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091.29 : 46,568.46 = 46,568.46 : x
  2. Step 2: Convert to fraction form
    30,091.29/46,568.46 = 46,568.46/x
  3. Step 3: Cross multiply
    30,091.29x = 46,568.46 × 46,568.46
  4. Step 4: Simplify right side
    30,091.29x = 2,168,621,554.09
  5. Step 5: Solve for x
    x = 2,168,621,554.09/30,091.29
  6. Step 6: Final answer
    x = 72,068.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.