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Finding the Third Proportional to 30,615.96 and 46,385.37

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Solution

The third proportional to 30,615.96 and 46,385.37 is: 70,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.96 : 46,385.37 = 46,385.37 : x
  2. Step 2: Convert to fraction form
    30,615.96/46,385.37 = 46,385.37/x
  3. Step 3: Cross multiply
    30,615.96x = 46,385.37 × 46,385.37
  4. Step 4: Simplify right side
    30,615.96x = 2,151,602,289.12
  5. Step 5: Solve for x
    x = 2,151,602,289.12/30,615.96
  6. Step 6: Final answer
    x = 70,277.14

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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.