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Finding the Third Proportional to 970.10 and 1,483.95

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Solution

The third proportional to 970.10 and 1,483.95 is: 2,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.10 : 1,483.95 = 1,483.95 : x
  2. Step 2: Convert to fraction form
    970.10/1,483.95 = 1,483.95/x
  3. Step 3: Cross multiply
    970.10x = 1,483.95 × 1,483.95
  4. Step 4: Simplify right side
    970.10x = 2,202,093.69
  5. Step 5: Solve for x
    x = 2,202,093.69/970.10
  6. Step 6: Final answer
    x = 2,269.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.