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Finding the Third Proportional to 20,784 and 45,033

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Solution

The third proportional to 20,784 and 45,033 is: 97,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 45,033 = 45,033 : x
  2. Step 2: Convert to fraction form
    20,784/45,033 = 45,033/x
  3. Step 3: Cross multiply
    20,784x = 45,033 × 45,033
  4. Step 4: Simplify right side
    20,784x = 2,027,971,089
  5. Step 5: Solve for x
    x = 2,027,971,089/20,784
  6. Step 6: Final answer
    x = 97,573.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.