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Finding the Third Proportional to 12,033 and 22,405.50

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Solution

The third proportional to 12,033 and 22,405.50 is: 41,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 22,405.50 = 22,405.50 : x
  2. Step 2: Convert to fraction form
    12,033/22,405.50 = 22,405.50/x
  3. Step 3: Cross multiply
    12,033x = 22,405.50 × 22,405.50
  4. Step 4: Simplify right side
    12,033x = 502,006,430.25
  5. Step 5: Solve for x
    x = 502,006,430.25/12,033
  6. Step 6: Final answer
    x = 41,719.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.