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Finding the Third Proportional to 24,748 and 55,018

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Solution

The third proportional to 24,748 and 55,018 is: 122,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748 : 55,018 = 55,018 : x
  2. Step 2: Convert to fraction form
    24,748/55,018 = 55,018/x
  3. Step 3: Cross multiply
    24,748x = 55,018 × 55,018
  4. Step 4: Simplify right side
    24,748x = 3,026,980,324
  5. Step 5: Solve for x
    x = 3,026,980,324/24,748
  6. Step 6: Final answer
    x = 122,312.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.