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Finding the Third Proportional to 21,683.95 and 31,603.08

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Solution

The third proportional to 21,683.95 and 31,603.08 is: 46,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.95 : 31,603.08 = 31,603.08 : x
  2. Step 2: Convert to fraction form
    21,683.95/31,603.08 = 31,603.08/x
  3. Step 3: Cross multiply
    21,683.95x = 31,603.08 × 31,603.08
  4. Step 4: Simplify right side
    21,683.95x = 998,754,546.97
  5. Step 5: Solve for x
    x = 998,754,546.97/21,683.95
  6. Step 6: Final answer
    x = 46,059.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.