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Finding the Third Proportional to 26,148 and 56,490

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Solution

The third proportional to 26,148 and 56,490 is: 122,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148 : 56,490 = 56,490 : x
  2. Step 2: Convert to fraction form
    26,148/56,490 = 56,490/x
  3. Step 3: Cross multiply
    26,148x = 56,490 × 56,490
  4. Step 4: Simplify right side
    26,148x = 3,191,120,100
  5. Step 5: Solve for x
    x = 3,191,120,100/26,148
  6. Step 6: Final answer
    x = 122,040.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.