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Finding the Third Proportional to 10,482.50 and 14,243.75

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Solution

The third proportional to 10,482.50 and 14,243.75 is: 19,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.50 : 14,243.75 = 14,243.75 : x
  2. Step 2: Convert to fraction form
    10,482.50/14,243.75 = 14,243.75/x
  3. Step 3: Cross multiply
    10,482.50x = 14,243.75 × 14,243.75
  4. Step 4: Simplify right side
    10,482.50x = 202,884,414.06
  5. Step 5: Solve for x
    x = 202,884,414.06/10,482.50
  6. Step 6: Final answer
    x = 19,354.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.