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Finding the Third Proportional to 33,925.50 and 48,451.50

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Solution

The third proportional to 33,925.50 and 48,451.50 is: 69,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,925.50 : 48,451.50 = 48,451.50 : x
  2. Step 2: Convert to fraction form
    33,925.50/48,451.50 = 48,451.50/x
  3. Step 3: Cross multiply
    33,925.50x = 48,451.50 × 48,451.50
  4. Step 4: Simplify right side
    33,925.50x = 2,347,547,852.25
  5. Step 5: Solve for x
    x = 2,347,547,852.25/33,925.50
  6. Step 6: Final answer
    x = 69,197.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.