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Finding the Third Proportional to 5,230 and 11,281.50

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Solution

The third proportional to 5,230 and 11,281.50 is: 24,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 11,281.50 = 11,281.50 : x
  2. Step 2: Convert to fraction form
    5,230/11,281.50 = 11,281.50/x
  3. Step 3: Cross multiply
    5,230x = 11,281.50 × 11,281.50
  4. Step 4: Simplify right side
    5,230x = 127,272,242.25
  5. Step 5: Solve for x
    x = 127,272,242.25/5,230
  6. Step 6: Final answer
    x = 24,335.04

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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.