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Finding the Third Proportional to 21,349.69 and 31,925.81

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Solution

The third proportional to 21,349.69 and 31,925.81 is: 47,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.69 : 31,925.81 = 31,925.81 : x
  2. Step 2: Convert to fraction form
    21,349.69/31,925.81 = 31,925.81/x
  3. Step 3: Cross multiply
    21,349.69x = 31,925.81 × 31,925.81
  4. Step 4: Simplify right side
    21,349.69x = 1,019,257,503.79
  5. Step 5: Solve for x
    x = 1,019,257,503.79/21,349.69
  6. Step 6: Final answer
    x = 47,741.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.