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Finding the Third Proportional to 26,476 and 56,789

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Solution

The third proportional to 26,476 and 56,789 is: 121,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476 : 56,789 = 56,789 : x
  2. Step 2: Convert to fraction form
    26,476/56,789 = 56,789/x
  3. Step 3: Cross multiply
    26,476x = 56,789 × 56,789
  4. Step 4: Simplify right side
    26,476x = 3,224,990,521
  5. Step 5: Solve for x
    x = 3,224,990,521/26,476
  6. Step 6: Final answer
    x = 121,808.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.