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Finding the Third Proportional to 7,602.29 and 16,487.93

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Solution

The third proportional to 7,602.29 and 16,487.93 is: 35,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.29 : 16,487.93 = 16,487.93 : x
  2. Step 2: Convert to fraction form
    7,602.29/16,487.93 = 16,487.93/x
  3. Step 3: Cross multiply
    7,602.29x = 16,487.93 × 16,487.93
  4. Step 4: Simplify right side
    7,602.29x = 271,851,825.38
  5. Step 5: Solve for x
    x = 271,851,825.38/7,602.29
  6. Step 6: Final answer
    x = 35,759.19

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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.