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Finding the Third Proportional to 31,197 and 66,541.50

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Solution

The third proportional to 31,197 and 66,541.50 is: 141,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197 : 66,541.50 = 66,541.50 : x
  2. Step 2: Convert to fraction form
    31,197/66,541.50 = 66,541.50/x
  3. Step 3: Cross multiply
    31,197x = 66,541.50 × 66,541.50
  4. Step 4: Simplify right side
    31,197x = 4,427,771,222.25
  5. Step 5: Solve for x
    x = 4,427,771,222.25/31,197
  6. Step 6: Final answer
    x = 141,929.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.