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Finding the Third Proportional to 15,088 and 21,103.50

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Solution

The third proportional to 15,088 and 21,103.50 is: 29,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088 : 21,103.50 = 21,103.50 : x
  2. Step 2: Convert to fraction form
    15,088/21,103.50 = 21,103.50/x
  3. Step 3: Cross multiply
    15,088x = 21,103.50 × 21,103.50
  4. Step 4: Simplify right side
    15,088x = 445,357,712.25
  5. Step 5: Solve for x
    x = 445,357,712.25/15,088
  6. Step 6: Final answer
    x = 29,517.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.