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Finding the Third Proportional to 7,526.36 and 11,487.45

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Solution

The third proportional to 7,526.36 and 11,487.45 is: 17,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.36 : 11,487.45 = 11,487.45 : x
  2. Step 2: Convert to fraction form
    7,526.36/11,487.45 = 11,487.45/x
  3. Step 3: Cross multiply
    7,526.36x = 11,487.45 × 11,487.45
  4. Step 4: Simplify right side
    7,526.36x = 131,961,399.81
  5. Step 5: Solve for x
    x = 131,961,399.81/7,526.36
  6. Step 6: Final answer
    x = 17,533.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.