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Finding the Third Proportional to 31,428 and 66,096

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Solution

The third proportional to 31,428 and 66,096 is: 139,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 66,096 = 66,096 : x
  2. Step 2: Convert to fraction form
    31,428/66,096 = 66,096/x
  3. Step 3: Cross multiply
    31,428x = 66,096 × 66,096
  4. Step 4: Simplify right side
    31,428x = 4,368,681,216
  5. Step 5: Solve for x
    x = 4,368,681,216/31,428
  6. Step 6: Final answer
    x = 139,006.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.