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Finding the Third Proportional to 10,907.16 and 16,345.55

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Solution

The third proportional to 10,907.16 and 16,345.55 is: 24,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.16 : 16,345.55 = 16,345.55 : x
  2. Step 2: Convert to fraction form
    10,907.16/16,345.55 = 16,345.55/x
  3. Step 3: Cross multiply
    10,907.16x = 16,345.55 × 16,345.55
  4. Step 4: Simplify right side
    10,907.16x = 267,176,902.64
  5. Step 5: Solve for x
    x = 267,176,902.64/10,907.16
  6. Step 6: Final answer
    x = 24,495.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.