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Finding the Third Proportional to 19,237.50 and 21,829.50

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Solution

The third proportional to 19,237.50 and 21,829.50 is: 24,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237.50 : 21,829.50 = 21,829.50 : x
  2. Step 2: Convert to fraction form
    19,237.50/21,829.50 = 21,829.50/x
  3. Step 3: Cross multiply
    19,237.50x = 21,829.50 × 21,829.50
  4. Step 4: Simplify right side
    19,237.50x = 476,527,070.25
  5. Step 5: Solve for x
    x = 476,527,070.25/19,237.50
  6. Step 6: Final answer
    x = 24,770.74

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.