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Finding the Third Proportional to 7,573.50 and 12,666.38

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Solution

The third proportional to 7,573.50 and 12,666.38 is: 21,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 12,666.38 = 12,666.38 : x
  2. Step 2: Convert to fraction form
    7,573.50/12,666.38 = 12,666.38/x
  3. Step 3: Cross multiply
    7,573.50x = 12,666.38 × 12,666.38
  4. Step 4: Simplify right side
    7,573.50x = 160,437,055.64
  5. Step 5: Solve for x
    x = 160,437,055.64/7,573.50
  6. Step 6: Final answer
    x = 21,184.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.