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Finding the Third Proportional to 30,842.86 and 46,492.31

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Solution

The third proportional to 30,842.86 and 46,492.31 is: 70,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.86 : 46,492.31 = 46,492.31 : x
  2. Step 2: Convert to fraction form
    30,842.86/46,492.31 = 46,492.31/x
  3. Step 3: Cross multiply
    30,842.86x = 46,492.31 × 46,492.31
  4. Step 4: Simplify right side
    30,842.86x = 2,161,535,121.60
  5. Step 5: Solve for x
    x = 2,161,535,121.60/30,842.86
  6. Step 6: Final answer
    x = 70,082.19

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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.