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Finding the Third Proportional to 10,521 and 24,579

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Solution

The third proportional to 10,521 and 24,579 is: 57,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 24,579 = 24,579 : x
  2. Step 2: Convert to fraction form
    10,521/24,579 = 24,579/x
  3. Step 3: Cross multiply
    10,521x = 24,579 × 24,579
  4. Step 4: Simplify right side
    10,521x = 604,127,241
  5. Step 5: Solve for x
    x = 604,127,241/10,521
  6. Step 6: Final answer
    x = 57,421.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.