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Finding the Third Proportional to 16,170.47 and 35,346.38

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Solution

The third proportional to 16,170.47 and 35,346.38 is: 77,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.47 : 35,346.38 = 35,346.38 : x
  2. Step 2: Convert to fraction form
    16,170.47/35,346.38 = 35,346.38/x
  3. Step 3: Cross multiply
    16,170.47x = 35,346.38 × 35,346.38
  4. Step 4: Simplify right side
    16,170.47x = 1,249,366,225.64
  5. Step 5: Solve for x
    x = 1,249,366,225.64/16,170.47
  6. Step 6: Final answer
    x = 77,262.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.