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Finding the Third Proportional to 11,448.75 and 15,088.50

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Solution

The third proportional to 11,448.75 and 15,088.50 is: 19,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.75 : 15,088.50 = 15,088.50 : x
  2. Step 2: Convert to fraction form
    11,448.75/15,088.50 = 15,088.50/x
  3. Step 3: Cross multiply
    11,448.75x = 15,088.50 × 15,088.50
  4. Step 4: Simplify right side
    11,448.75x = 227,662,832.25
  5. Step 5: Solve for x
    x = 227,662,832.25/11,448.75
  6. Step 6: Final answer
    x = 19,885.39

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.