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Finding the Third Proportional to 28,305 and 62,046

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Solution

The third proportional to 28,305 and 62,046 is: 136,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305 : 62,046 = 62,046 : x
  2. Step 2: Convert to fraction form
    28,305/62,046 = 62,046/x
  3. Step 3: Cross multiply
    28,305x = 62,046 × 62,046
  4. Step 4: Simplify right side
    28,305x = 3,849,706,116
  5. Step 5: Solve for x
    x = 3,849,706,116/28,305
  6. Step 6: Final answer
    x = 136,007.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.