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Finding the Third Proportional to 20,658.50 and 42,405.50

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Solution

The third proportional to 20,658.50 and 42,405.50 is: 87,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.50 : 42,405.50 = 42,405.50 : x
  2. Step 2: Convert to fraction form
    20,658.50/42,405.50 = 42,405.50/x
  3. Step 3: Cross multiply
    20,658.50x = 42,405.50 × 42,405.50
  4. Step 4: Simplify right side
    20,658.50x = 1,798,226,430.25
  5. Step 5: Solve for x
    x = 1,798,226,430.25/20,658.50
  6. Step 6: Final answer
    x = 87,045.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.