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Finding the Third Proportional to 21,938.25 and 35,329.50

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Solution

The third proportional to 21,938.25 and 35,329.50 is: 56,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.25 : 35,329.50 = 35,329.50 : x
  2. Step 2: Convert to fraction form
    21,938.25/35,329.50 = 35,329.50/x
  3. Step 3: Cross multiply
    21,938.25x = 35,329.50 × 35,329.50
  4. Step 4: Simplify right side
    21,938.25x = 1,248,173,570.25
  5. Step 5: Solve for x
    x = 1,248,173,570.25/21,938.25
  6. Step 6: Final answer
    x = 56,894.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.