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Finding the Third Proportional to 970.50 and 2,545.50

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Solution

The third proportional to 970.50 and 2,545.50 is: 6,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.50 : 2,545.50 = 2,545.50 : x
  2. Step 2: Convert to fraction form
    970.50/2,545.50 = 2,545.50/x
  3. Step 3: Cross multiply
    970.50x = 2,545.50 × 2,545.50
  4. Step 4: Simplify right side
    970.50x = 6,479,570.25
  5. Step 5: Solve for x
    x = 6,479,570.25/970.50
  6. Step 6: Final answer
    x = 6,676.53

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.