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Finding the Third Proportional to 28,969 and 63,475

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Solution

The third proportional to 28,969 and 63,475 is: 139,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,969 : 63,475 = 63,475 : x
  2. Step 2: Convert to fraction form
    28,969/63,475 = 63,475/x
  3. Step 3: Cross multiply
    28,969x = 63,475 × 63,475
  4. Step 4: Simplify right side
    28,969x = 4,029,075,625
  5. Step 5: Solve for x
    x = 4,029,075,625/28,969
  6. Step 6: Final answer
    x = 139,082.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.