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Finding the Third Proportional to 30,866.63 and 46,096.88

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Solution

The third proportional to 30,866.63 and 46,096.88 is: 68,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.63 : 46,096.88 = 46,096.88 : x
  2. Step 2: Convert to fraction form
    30,866.63/46,096.88 = 46,096.88/x
  3. Step 3: Cross multiply
    30,866.63x = 46,096.88 × 46,096.88
  4. Step 4: Simplify right side
    30,866.63x = 2,124,921,884.77
  5. Step 5: Solve for x
    x = 2,124,921,884.77/30,866.63
  6. Step 6: Final answer
    x = 68,842.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.