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Finding the Third Proportional to 6,045.75 and 8,904.38

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Solution

The third proportional to 6,045.75 and 8,904.38 is: 13,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.75 : 8,904.38 = 8,904.38 : x
  2. Step 2: Convert to fraction form
    6,045.75/8,904.38 = 8,904.38/x
  3. Step 3: Cross multiply
    6,045.75x = 8,904.38 × 8,904.38
  4. Step 4: Simplify right side
    6,045.75x = 79,287,894.14
  5. Step 5: Solve for x
    x = 79,287,894.14/6,045.75
  6. Step 6: Final answer
    x = 13,114.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.