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Finding the Third Proportional to 25,972 and 56,803

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Solution

The third proportional to 25,972 and 56,803 is: 124,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972 : 56,803 = 56,803 : x
  2. Step 2: Convert to fraction form
    25,972/56,803 = 56,803/x
  3. Step 3: Cross multiply
    25,972x = 56,803 × 56,803
  4. Step 4: Simplify right side
    25,972x = 3,226,580,809
  5. Step 5: Solve for x
    x = 3,226,580,809/25,972
  6. Step 6: Final answer
    x = 124,233.05

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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.