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Finding the Third Proportional to 25,582.50 and 54,718.88

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Solution

The third proportional to 25,582.50 and 54,718.88 is: 117,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582.50 : 54,718.88 = 54,718.88 : x
  2. Step 2: Convert to fraction form
    25,582.50/54,718.88 = 54,718.88/x
  3. Step 3: Cross multiply
    25,582.50x = 54,718.88 × 54,718.88
  4. Step 4: Simplify right side
    25,582.50x = 2,994,155,281.27
  5. Step 5: Solve for x
    x = 2,994,155,281.27/25,582.50
  6. Step 6: Final answer
    x = 117,039.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.