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Finding the Third Proportional to 24,097.50 and 36,860.06

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Solution

The third proportional to 24,097.50 and 36,860.06 is: 56,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.50 : 36,860.06 = 36,860.06 : x
  2. Step 2: Convert to fraction form
    24,097.50/36,860.06 = 36,860.06/x
  3. Step 3: Cross multiply
    24,097.50x = 36,860.06 × 36,860.06
  4. Step 4: Simplify right side
    24,097.50x = 1,358,664,207.50
  5. Step 5: Solve for x
    x = 1,358,664,207.50/24,097.50
  6. Step 6: Final answer
    x = 56,381.96

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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.