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Finding the Third Proportional to 5,307.19 and 8,317.69

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Solution

The third proportional to 5,307.19 and 8,317.69 is: 13,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.19 : 8,317.69 = 8,317.69 : x
  2. Step 2: Convert to fraction form
    5,307.19/8,317.69 = 8,317.69/x
  3. Step 3: Cross multiply
    5,307.19x = 8,317.69 × 8,317.69
  4. Step 4: Simplify right side
    5,307.19x = 69,183,925.35
  5. Step 5: Solve for x
    x = 69,183,925.35/5,307.19
  6. Step 6: Final answer
    x = 13,035.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.