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Finding the Third Proportional to 25,053 and 38,523

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Solution

The third proportional to 25,053 and 38,523 is: 59,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,053 : 38,523 = 38,523 : x
  2. Step 2: Convert to fraction form
    25,053/38,523 = 38,523/x
  3. Step 3: Cross multiply
    25,053x = 38,523 × 38,523
  4. Step 4: Simplify right side
    25,053x = 1,484,021,529
  5. Step 5: Solve for x
    x = 1,484,021,529/25,053
  6. Step 6: Final answer
    x = 59,235.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.