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Finding the Third Proportional to 25,955 and 56,797

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Solution

The third proportional to 25,955 and 56,797 is: 124,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,955 : 56,797 = 56,797 : x
  2. Step 2: Convert to fraction form
    25,955/56,797 = 56,797/x
  3. Step 3: Cross multiply
    25,955x = 56,797 × 56,797
  4. Step 4: Simplify right side
    25,955x = 3,225,899,209
  5. Step 5: Solve for x
    x = 3,225,899,209/25,955
  6. Step 6: Final answer
    x = 124,288.16

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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.