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Finding the Third Proportional to 6,368.63 and 9,477.84

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Solution

The third proportional to 6,368.63 and 9,477.84 is: 14,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.63 : 9,477.84 = 9,477.84 : x
  2. Step 2: Convert to fraction form
    6,368.63/9,477.84 = 9,477.84/x
  3. Step 3: Cross multiply
    6,368.63x = 9,477.84 × 9,477.84
  4. Step 4: Simplify right side
    6,368.63x = 89,829,522.15
  5. Step 5: Solve for x
    x = 89,829,522.15/6,368.63
  6. Step 6: Final answer
    x = 14,105.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.