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Finding the Third Proportional to 11,547.56 and 26,967.94

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Solution

The third proportional to 11,547.56 and 26,967.94 is: 62,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.56 : 26,967.94 = 26,967.94 : x
  2. Step 2: Convert to fraction form
    11,547.56/26,967.94 = 26,967.94/x
  3. Step 3: Cross multiply
    11,547.56x = 26,967.94 × 26,967.94
  4. Step 4: Simplify right side
    11,547.56x = 727,269,653.00
  5. Step 5: Solve for x
    x = 727,269,653.00/11,547.56
  6. Step 6: Final answer
    x = 62,980.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.