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Finding the Third Proportional to 7,398 and 8,005.50

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Solution

The third proportional to 7,398 and 8,005.50 is: 8,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398 : 8,005.50 = 8,005.50 : x
  2. Step 2: Convert to fraction form
    7,398/8,005.50 = 8,005.50/x
  3. Step 3: Cross multiply
    7,398x = 8,005.50 × 8,005.50
  4. Step 4: Simplify right side
    7,398x = 64,088,030.25
  5. Step 5: Solve for x
    x = 64,088,030.25/7,398
  6. Step 6: Final answer
    x = 8,662.89

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.