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Finding the Third Proportional to 24,459.75 and 32,307.75

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Solution

The third proportional to 24,459.75 and 32,307.75 is: 42,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.75 : 32,307.75 = 32,307.75 : x
  2. Step 2: Convert to fraction form
    24,459.75/32,307.75 = 32,307.75/x
  3. Step 3: Cross multiply
    24,459.75x = 32,307.75 × 32,307.75
  4. Step 4: Simplify right side
    24,459.75x = 1,043,790,710.06
  5. Step 5: Solve for x
    x = 1,043,790,710.06/24,459.75
  6. Step 6: Final answer
    x = 42,673.81

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.