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Finding the Third Proportional to 11,496.09 and 15,417.84

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Solution

The third proportional to 11,496.09 and 15,417.84 is: 20,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.09 : 15,417.84 = 15,417.84 : x
  2. Step 2: Convert to fraction form
    11,496.09/15,417.84 = 15,417.84/x
  3. Step 3: Cross multiply
    11,496.09x = 15,417.84 × 15,417.84
  4. Step 4: Simplify right side
    11,496.09x = 237,709,905.90
  5. Step 5: Solve for x
    x = 237,709,905.90/11,496.09
  6. Step 6: Final answer
    x = 20,677.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.