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Finding the Third Proportional to 46,142.63 and 65,982.56

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Solution

The third proportional to 46,142.63 and 65,982.56 is: 94,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142.63 : 65,982.56 = 65,982.56 : x
  2. Step 2: Convert to fraction form
    46,142.63/65,982.56 = 65,982.56/x
  3. Step 3: Cross multiply
    46,142.63x = 65,982.56 × 65,982.56
  4. Step 4: Simplify right side
    46,142.63x = 4,353,698,554.07
  5. Step 5: Solve for x
    x = 4,353,698,554.07/46,142.63
  6. Step 6: Final answer
    x = 94,353.07

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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.