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Finding the Third Proportional to 7,153.13 and 15,537.56

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Solution

The third proportional to 7,153.13 and 15,537.56 is: 33,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.13 : 15,537.56 = 15,537.56 : x
  2. Step 2: Convert to fraction form
    7,153.13/15,537.56 = 15,537.56/x
  3. Step 3: Cross multiply
    7,153.13x = 15,537.56 × 15,537.56
  4. Step 4: Simplify right side
    7,153.13x = 241,415,848.44
  5. Step 5: Solve for x
    x = 241,415,848.44/7,153.13
  6. Step 6: Final answer
    x = 33,749.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.