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Finding the Third Proportional to 6,459.75 and 9,484.59

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Solution

The third proportional to 6,459.75 and 9,484.59 is: 13,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.75 : 9,484.59 = 9,484.59 : x
  2. Step 2: Convert to fraction form
    6,459.75/9,484.59 = 9,484.59/x
  3. Step 3: Cross multiply
    6,459.75x = 9,484.59 × 9,484.59
  4. Step 4: Simplify right side
    6,459.75x = 89,957,518.60
  5. Step 5: Solve for x
    x = 89,957,518.60/6,459.75
  6. Step 6: Final answer
    x = 13,925.85

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