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Finding the Third Proportional to 6,805.13 and 16,547.06

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Solution

The third proportional to 6,805.13 and 16,547.06 is: 40,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.13 : 16,547.06 = 16,547.06 : x
  2. Step 2: Convert to fraction form
    6,805.13/16,547.06 = 16,547.06/x
  3. Step 3: Cross multiply
    6,805.13x = 16,547.06 × 16,547.06
  4. Step 4: Simplify right side
    6,805.13x = 273,805,277.38
  5. Step 5: Solve for x
    x = 273,805,277.38/6,805.13
  6. Step 6: Final answer
    x = 40,235.16

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.