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Finding the Third Proportional to 5,553 and 13,042.50

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Solution

The third proportional to 5,553 and 13,042.50 is: 30,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553 : 13,042.50 = 13,042.50 : x
  2. Step 2: Convert to fraction form
    5,553/13,042.50 = 13,042.50/x
  3. Step 3: Cross multiply
    5,553x = 13,042.50 × 13,042.50
  4. Step 4: Simplify right side
    5,553x = 170,106,806.25
  5. Step 5: Solve for x
    x = 170,106,806.25/5,553
  6. Step 6: Final answer
    x = 30,633.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.