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Finding the Third Proportional to 9,042.25 and 18,776.25

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Solution

The third proportional to 9,042.25 and 18,776.25 is: 38,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.25 : 18,776.25 = 18,776.25 : x
  2. Step 2: Convert to fraction form
    9,042.25/18,776.25 = 18,776.25/x
  3. Step 3: Cross multiply
    9,042.25x = 18,776.25 × 18,776.25
  4. Step 4: Simplify right side
    9,042.25x = 352,547,564.06
  5. Step 5: Solve for x
    x = 352,547,564.06/9,042.25
  6. Step 6: Final answer
    x = 38,988.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.