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Finding the Third Proportional to 6,307.56 and 10,465.14

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Solution

The third proportional to 6,307.56 and 10,465.14 is: 17,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.56 : 10,465.14 = 10,465.14 : x
  2. Step 2: Convert to fraction form
    6,307.56/10,465.14 = 10,465.14/x
  3. Step 3: Cross multiply
    6,307.56x = 10,465.14 × 10,465.14
  4. Step 4: Simplify right side
    6,307.56x = 109,519,086.54
  5. Step 5: Solve for x
    x = 109,519,086.54/6,307.56
  6. Step 6: Final answer
    x = 17,363.15

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.