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Finding the Third Proportional to 970.63 and 2,095.75

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Solution

The third proportional to 970.63 and 2,095.75 is: 4,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.63 : 2,095.75 = 2,095.75 : x
  2. Step 2: Convert to fraction form
    970.63/2,095.75 = 2,095.75/x
  3. Step 3: Cross multiply
    970.63x = 2,095.75 × 2,095.75
  4. Step 4: Simplify right side
    970.63x = 4,392,168.06
  5. Step 5: Solve for x
    x = 4,392,168.06/970.63
  6. Step 6: Final answer
    x = 4,525.09

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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.