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Finding the Third Proportional to 24,075 and 52,953

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Solution

The third proportional to 24,075 and 52,953 is: 116,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 52,953 = 52,953 : x
  2. Step 2: Convert to fraction form
    24,075/52,953 = 52,953/x
  3. Step 3: Cross multiply
    24,075x = 52,953 × 52,953
  4. Step 4: Simplify right side
    24,075x = 2,804,020,209
  5. Step 5: Solve for x
    x = 2,804,020,209/24,075
  6. Step 6: Final answer
    x = 116,470.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.