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Finding the Third Proportional to 25,582 and 55,808

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Solution

The third proportional to 25,582 and 55,808 is: 121,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582 : 55,808 = 55,808 : x
  2. Step 2: Convert to fraction form
    25,582/55,808 = 55,808/x
  3. Step 3: Cross multiply
    25,582x = 55,808 × 55,808
  4. Step 4: Simplify right side
    25,582x = 3,114,532,864
  5. Step 5: Solve for x
    x = 3,114,532,864/25,582
  6. Step 6: Final answer
    x = 121,747.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.