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Finding the Third Proportional to 21,352.50 and 31,929.75

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Solution

The third proportional to 21,352.50 and 31,929.75 is: 47,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.50 : 31,929.75 = 31,929.75 : x
  2. Step 2: Convert to fraction form
    21,352.50/31,929.75 = 31,929.75/x
  3. Step 3: Cross multiply
    21,352.50x = 31,929.75 × 31,929.75
  4. Step 4: Simplify right side
    21,352.50x = 1,019,508,935.06
  5. Step 5: Solve for x
    x = 1,019,508,935.06/21,352.50
  6. Step 6: Final answer
    x = 47,746.58

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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.