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Finding the Third Proportional to 14,154.75 and 26,547.75

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Solution

The third proportional to 14,154.75 and 26,547.75 is: 49,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.75 : 26,547.75 = 26,547.75 : x
  2. Step 2: Convert to fraction form
    14,154.75/26,547.75 = 26,547.75/x
  3. Step 3: Cross multiply
    14,154.75x = 26,547.75 × 26,547.75
  4. Step 4: Simplify right side
    14,154.75x = 704,783,030.06
  5. Step 5: Solve for x
    x = 704,783,030.06/14,154.75
  6. Step 6: Final answer
    x = 49,791.27

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.