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Finding the Third Proportional to 8,646.75 and 18,303.75

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Solution

The third proportional to 8,646.75 and 18,303.75 is: 38,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 18,303.75 = 18,303.75 : x
  2. Step 2: Convert to fraction form
    8,646.75/18,303.75 = 18,303.75/x
  3. Step 3: Cross multiply
    8,646.75x = 18,303.75 × 18,303.75
  4. Step 4: Simplify right side
    8,646.75x = 335,027,264.06
  5. Step 5: Solve for x
    x = 335,027,264.06/8,646.75
  6. Step 6: Final answer
    x = 38,746.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.