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Finding the Third Proportional to 10,237.50 and 19,773

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Solution

The third proportional to 10,237.50 and 19,773 is: 38,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.50 : 19,773 = 19,773 : x
  2. Step 2: Convert to fraction form
    10,237.50/19,773 = 19,773/x
  3. Step 3: Cross multiply
    10,237.50x = 19,773 × 19,773
  4. Step 4: Simplify right side
    10,237.50x = 390,971,529
  5. Step 5: Solve for x
    x = 390,971,529/10,237.50
  6. Step 6: Final answer
    x = 38,190.14

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.