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Finding the Third Proportional to 25,833 and 56,581.50

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Solution

The third proportional to 25,833 and 56,581.50 is: 123,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833 : 56,581.50 = 56,581.50 : x
  2. Step 2: Convert to fraction form
    25,833/56,581.50 = 56,581.50/x
  3. Step 3: Cross multiply
    25,833x = 56,581.50 × 56,581.50
  4. Step 4: Simplify right side
    25,833x = 3,201,466,142.25
  5. Step 5: Solve for x
    x = 3,201,466,142.25/25,833
  6. Step 6: Final answer
    x = 123,929.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.