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Finding the Third Proportional to 26,000 and 56,428

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Solution

The third proportional to 26,000 and 56,428 is: 122,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 56,428 = 56,428 : x
  2. Step 2: Convert to fraction form
    26,000/56,428 = 56,428/x
  3. Step 3: Cross multiply
    26,000x = 56,428 × 56,428
  4. Step 4: Simplify right side
    26,000x = 3,184,119,184
  5. Step 5: Solve for x
    x = 3,184,119,184/26,000
  6. Step 6: Final answer
    x = 122,466.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.