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Finding the Third Proportional to 14,403 and 33,365

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Solution

The third proportional to 14,403 and 33,365 is: 77,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403 : 33,365 = 33,365 : x
  2. Step 2: Convert to fraction form
    14,403/33,365 = 33,365/x
  3. Step 3: Cross multiply
    14,403x = 33,365 × 33,365
  4. Step 4: Simplify right side
    14,403x = 1,113,223,225
  5. Step 5: Solve for x
    x = 1,113,223,225/14,403
  6. Step 6: Final answer
    x = 77,291.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.