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Finding the Third Proportional to 28,962 and 63,468

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Solution

The third proportional to 28,962 and 63,468 is: 139,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,962 : 63,468 = 63,468 : x
  2. Step 2: Convert to fraction form
    28,962/63,468 = 63,468/x
  3. Step 3: Cross multiply
    28,962x = 63,468 × 63,468
  4. Step 4: Simplify right side
    28,962x = 4,028,187,024
  5. Step 5: Solve for x
    x = 4,028,187,024/28,962
  6. Step 6: Final answer
    x = 139,085.25

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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.