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Finding the Third Proportional to 19,971 and 30,562.50

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Solution

The third proportional to 19,971 and 30,562.50 is: 46,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 30,562.50 = 30,562.50 : x
  2. Step 2: Convert to fraction form
    19,971/30,562.50 = 30,562.50/x
  3. Step 3: Cross multiply
    19,971x = 30,562.50 × 30,562.50
  4. Step 4: Simplify right side
    19,971x = 934,066,406.25
  5. Step 5: Solve for x
    x = 934,066,406.25/19,971
  6. Step 6: Final answer
    x = 46,771.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.