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Finding the Third Proportional to 28,971 and 63,477

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Solution

The third proportional to 28,971 and 63,477 is: 139,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,971 : 63,477 = 63,477 : x
  2. Step 2: Convert to fraction form
    28,971/63,477 = 63,477/x
  3. Step 3: Cross multiply
    28,971x = 63,477 × 63,477
  4. Step 4: Simplify right side
    28,971x = 4,029,329,529
  5. Step 5: Solve for x
    x = 4,029,329,529/28,971
  6. Step 6: Final answer
    x = 139,081.48

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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.