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Finding the Third Proportional to 28,460 and 62,045

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Solution

The third proportional to 28,460 and 62,045 is: 135,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460 : 62,045 = 62,045 : x
  2. Step 2: Convert to fraction form
    28,460/62,045 = 62,045/x
  3. Step 3: Cross multiply
    28,460x = 62,045 × 62,045
  4. Step 4: Simplify right side
    28,460x = 3,849,582,025
  5. Step 5: Solve for x
    x = 3,849,582,025/28,460
  6. Step 6: Final answer
    x = 135,262.90

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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.