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Finding the Third Proportional to 7,442.50 and 12,675.75

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Solution

The third proportional to 7,442.50 and 12,675.75 is: 21,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.50 : 12,675.75 = 12,675.75 : x
  2. Step 2: Convert to fraction form
    7,442.50/12,675.75 = 12,675.75/x
  3. Step 3: Cross multiply
    7,442.50x = 12,675.75 × 12,675.75
  4. Step 4: Simplify right side
    7,442.50x = 160,674,638.06
  5. Step 5: Solve for x
    x = 160,674,638.06/7,442.50
  6. Step 6: Final answer
    x = 21,588.80

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.