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Finding the Third Proportional to 2,047.08 and 4,386.09

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Solution

The third proportional to 2,047.08 and 4,386.09 is: 9,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.08 : 4,386.09 = 4,386.09 : x
  2. Step 2: Convert to fraction form
    2,047.08/4,386.09 = 4,386.09/x
  3. Step 3: Cross multiply
    2,047.08x = 4,386.09 × 4,386.09
  4. Step 4: Simplify right side
    2,047.08x = 19,237,818.38
  5. Step 5: Solve for x
    x = 19,237,818.38/2,047.08
  6. Step 6: Final answer
    x = 9,397.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.