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Finding the Third Proportional to 7,899.19 and 17,441.16

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Solution

The third proportional to 7,899.19 and 17,441.16 is: 38,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.19 : 17,441.16 = 17,441.16 : x
  2. Step 2: Convert to fraction form
    7,899.19/17,441.16 = 17,441.16/x
  3. Step 3: Cross multiply
    7,899.19x = 17,441.16 × 17,441.16
  4. Step 4: Simplify right side
    7,899.19x = 304,193,931.34
  5. Step 5: Solve for x
    x = 304,193,931.34/7,899.19
  6. Step 6: Final answer
    x = 38,509.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.