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Finding the Third Proportional to 12,377 and 26,050

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Solution

The third proportional to 12,377 and 26,050 is: 54,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377 : 26,050 = 26,050 : x
  2. Step 2: Convert to fraction form
    12,377/26,050 = 26,050/x
  3. Step 3: Cross multiply
    12,377x = 26,050 × 26,050
  4. Step 4: Simplify right side
    12,377x = 678,602,500
  5. Step 5: Solve for x
    x = 678,602,500/12,377
  6. Step 6: Final answer
    x = 54,827.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.