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Finding the Third Proportional to 24,714 and 53,316

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Solution

The third proportional to 24,714 and 53,316 is: 115,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714 : 53,316 = 53,316 : x
  2. Step 2: Convert to fraction form
    24,714/53,316 = 53,316/x
  3. Step 3: Cross multiply
    24,714x = 53,316 × 53,316
  4. Step 4: Simplify right side
    24,714x = 2,842,595,856
  5. Step 5: Solve for x
    x = 2,842,595,856/24,714
  6. Step 6: Final answer
    x = 115,019.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.