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Finding the Third Proportional to 8,388 and 13,063.50

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Solution

The third proportional to 8,388 and 13,063.50 is: 20,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388 : 13,063.50 = 13,063.50 : x
  2. Step 2: Convert to fraction form
    8,388/13,063.50 = 13,063.50/x
  3. Step 3: Cross multiply
    8,388x = 13,063.50 × 13,063.50
  4. Step 4: Simplify right side
    8,388x = 170,655,032.25
  5. Step 5: Solve for x
    x = 170,655,032.25/8,388
  6. Step 6: Final answer
    x = 20,345.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.