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Finding the Third Proportional to 8,971.50 and 19,527

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Solution

The third proportional to 8,971.50 and 19,527 is: 42,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.50 : 19,527 = 19,527 : x
  2. Step 2: Convert to fraction form
    8,971.50/19,527 = 19,527/x
  3. Step 3: Cross multiply
    8,971.50x = 19,527 × 19,527
  4. Step 4: Simplify right side
    8,971.50x = 381,303,729
  5. Step 5: Solve for x
    x = 381,303,729/8,971.50
  6. Step 6: Final answer
    x = 42,501.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.