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Finding the Third Proportional to 13,427.50 and 28,798

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Solution

The third proportional to 13,427.50 and 28,798 is: 61,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.50 : 28,798 = 28,798 : x
  2. Step 2: Convert to fraction form
    13,427.50/28,798 = 28,798/x
  3. Step 3: Cross multiply
    13,427.50x = 28,798 × 28,798
  4. Step 4: Simplify right side
    13,427.50x = 829,324,804
  5. Step 5: Solve for x
    x = 829,324,804/13,427.50
  6. Step 6: Final answer
    x = 61,763.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.