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Finding the Third Proportional to 10,020 and 10,951.50

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Solution

The third proportional to 10,020 and 10,951.50 is: 11,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020 : 10,951.50 = 10,951.50 : x
  2. Step 2: Convert to fraction form
    10,020/10,951.50 = 10,951.50/x
  3. Step 3: Cross multiply
    10,020x = 10,951.50 × 10,951.50
  4. Step 4: Simplify right side
    10,020x = 119,935,352.25
  5. Step 5: Solve for x
    x = 119,935,352.25/10,020
  6. Step 6: Final answer
    x = 11,969.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.