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Finding the Third Proportional to 16,430 and 35,628.06

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Solution

The third proportional to 16,430 and 35,628.06 is: 77,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430 : 35,628.06 = 35,628.06 : x
  2. Step 2: Convert to fraction form
    16,430/35,628.06 = 35,628.06/x
  3. Step 3: Cross multiply
    16,430x = 35,628.06 × 35,628.06
  4. Step 4: Simplify right side
    16,430x = 1,269,358,837.50
  5. Step 5: Solve for x
    x = 1,269,358,837.50/16,430
  6. Step 6: Final answer
    x = 77,258.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.