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Finding the Third Proportional to 9,506 and 20,835

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Solution

The third proportional to 9,506 and 20,835 is: 45,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506 : 20,835 = 20,835 : x
  2. Step 2: Convert to fraction form
    9,506/20,835 = 20,835/x
  3. Step 3: Cross multiply
    9,506x = 20,835 × 20,835
  4. Step 4: Simplify right side
    9,506x = 434,097,225
  5. Step 5: Solve for x
    x = 434,097,225/9,506
  6. Step 6: Final answer
    x = 45,665.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.