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Finding the Third Proportional to 44,541.50 and 65,354

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Solution

The third proportional to 44,541.50 and 65,354 is: 95,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,541.50 : 65,354 = 65,354 : x
  2. Step 2: Convert to fraction form
    44,541.50/65,354 = 65,354/x
  3. Step 3: Cross multiply
    44,541.50x = 65,354 × 65,354
  4. Step 4: Simplify right side
    44,541.50x = 4,271,145,316
  5. Step 5: Solve for x
    x = 4,271,145,316/44,541.50
  6. Step 6: Final answer
    x = 95,891.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.