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Finding the Third Proportional to 9,740.25 and 21,037.22

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Solution

The third proportional to 9,740.25 and 21,037.22 is: 45,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.25 : 21,037.22 = 21,037.22 : x
  2. Step 2: Convert to fraction form
    9,740.25/21,037.22 = 21,037.22/x
  3. Step 3: Cross multiply
    9,740.25x = 21,037.22 × 21,037.22
  4. Step 4: Simplify right side
    9,740.25x = 442,564,572.74
  5. Step 5: Solve for x
    x = 442,564,572.74/9,740.25
  6. Step 6: Final answer
    x = 45,436.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.