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Finding the Third Proportional to 23,157 and 32,791

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Solution

The third proportional to 23,157 and 32,791 is: 46,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 32,791 = 32,791 : x
  2. Step 2: Convert to fraction form
    23,157/32,791 = 32,791/x
  3. Step 3: Cross multiply
    23,157x = 32,791 × 32,791
  4. Step 4: Simplify right side
    23,157x = 1,075,249,681
  5. Step 5: Solve for x
    x = 1,075,249,681/23,157
  6. Step 6: Final answer
    x = 46,433.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.