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Finding the Third Proportional to 10,460 and 24,533

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Solution

The third proportional to 10,460 and 24,533 is: 57,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 24,533 = 24,533 : x
  2. Step 2: Convert to fraction form
    10,460/24,533 = 24,533/x
  3. Step 3: Cross multiply
    10,460x = 24,533 × 24,533
  4. Step 4: Simplify right side
    10,460x = 601,868,089
  5. Step 5: Solve for x
    x = 601,868,089/10,460
  6. Step 6: Final answer
    x = 57,539.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.