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Finding the Third Proportional to 21,325.50 and 31,364.25

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Solution

The third proportional to 21,325.50 and 31,364.25 is: 46,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,325.50 : 31,364.25 = 31,364.25 : x
  2. Step 2: Convert to fraction form
    21,325.50/31,364.25 = 31,364.25/x
  3. Step 3: Cross multiply
    21,325.50x = 31,364.25 × 31,364.25
  4. Step 4: Simplify right side
    21,325.50x = 983,716,178.06
  5. Step 5: Solve for x
    x = 983,716,178.06/21,325.50
  6. Step 6: Final answer
    x = 46,128.63

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Why These Related Problems?

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