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Finding the Third Proportional to 970.13 and 2,094.05

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Solution

The third proportional to 970.13 and 2,094.05 is: 4,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 2,094.05 = 2,094.05 : x
  2. Step 2: Convert to fraction form
    970.13/2,094.05 = 2,094.05/x
  3. Step 3: Cross multiply
    970.13x = 2,094.05 × 2,094.05
  4. Step 4: Simplify right side
    970.13x = 4,385,032.31
  5. Step 5: Solve for x
    x = 4,385,032.31/970.13
  6. Step 6: Final answer
    x = 4,520.07

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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.