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Finding the Third Proportional to 24,768 and 55,840

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Solution

The third proportional to 24,768 and 55,840 is: 125,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 55,840 = 55,840 : x
  2. Step 2: Convert to fraction form
    24,768/55,840 = 55,840/x
  3. Step 3: Cross multiply
    24,768x = 55,840 × 55,840
  4. Step 4: Simplify right side
    24,768x = 3,118,105,600
  5. Step 5: Solve for x
    x = 3,118,105,600/24,768
  6. Step 6: Final answer
    x = 125,892.51

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.