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Finding the Third Proportional to 10,665 and 23,203.50

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Solution

The third proportional to 10,665 and 23,203.50 is: 50,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665 : 23,203.50 = 23,203.50 : x
  2. Step 2: Convert to fraction form
    10,665/23,203.50 = 23,203.50/x
  3. Step 3: Cross multiply
    10,665x = 23,203.50 × 23,203.50
  4. Step 4: Simplify right side
    10,665x = 538,402,412.25
  5. Step 5: Solve for x
    x = 538,402,412.25/10,665
  6. Step 6: Final answer
    x = 50,483.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.