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Finding the Third Proportional to 24,410 and 53,284

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Solution

The third proportional to 24,410 and 53,284 is: 116,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410 : 53,284 = 53,284 : x
  2. Step 2: Convert to fraction form
    24,410/53,284 = 53,284/x
  3. Step 3: Cross multiply
    24,410x = 53,284 × 53,284
  4. Step 4: Simplify right side
    24,410x = 2,839,184,656
  5. Step 5: Solve for x
    x = 2,839,184,656/24,410
  6. Step 6: Final answer
    x = 116,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.