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Finding the Third Proportional to 6,547.50 and 14,145.75

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Solution

The third proportional to 6,547.50 and 14,145.75 is: 30,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.50 : 14,145.75 = 14,145.75 : x
  2. Step 2: Convert to fraction form
    6,547.50/14,145.75 = 14,145.75/x
  3. Step 3: Cross multiply
    6,547.50x = 14,145.75 × 14,145.75
  4. Step 4: Simplify right side
    6,547.50x = 200,102,243.06
  5. Step 5: Solve for x
    x = 200,102,243.06/6,547.50
  6. Step 6: Final answer
    x = 30,561.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.