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Finding the Third Proportional to 13,335 and 28,309

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Solution

The third proportional to 13,335 and 28,309 is: 60,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,335 : 28,309 = 28,309 : x
  2. Step 2: Convert to fraction form
    13,335/28,309 = 28,309/x
  3. Step 3: Cross multiply
    13,335x = 28,309 × 28,309
  4. Step 4: Simplify right side
    13,335x = 801,399,481
  5. Step 5: Solve for x
    x = 801,399,481/13,335
  6. Step 6: Final answer
    x = 60,097.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.