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Finding the Third Proportional to 24,207 and 37,003.50

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Solution

The third proportional to 24,207 and 37,003.50 is: 56,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207 : 37,003.50 = 37,003.50 : x
  2. Step 2: Convert to fraction form
    24,207/37,003.50 = 37,003.50/x
  3. Step 3: Cross multiply
    24,207x = 37,003.50 × 37,003.50
  4. Step 4: Simplify right side
    24,207x = 1,369,259,012.25
  5. Step 5: Solve for x
    x = 1,369,259,012.25/24,207
  6. Step 6: Final answer
    x = 56,564.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.