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Finding the Third Proportional to 3,098.25 and 6,547.50

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Solution

The third proportional to 3,098.25 and 6,547.50 is: 13,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.25 : 6,547.50 = 6,547.50 : x
  2. Step 2: Convert to fraction form
    3,098.25/6,547.50 = 6,547.50/x
  3. Step 3: Cross multiply
    3,098.25x = 6,547.50 × 6,547.50
  4. Step 4: Simplify right side
    3,098.25x = 42,869,756.25
  5. Step 5: Solve for x
    x = 42,869,756.25/3,098.25
  6. Step 6: Final answer
    x = 13,836.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.