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Finding the Third Proportional to 1,730.25 and 2,602.13

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Solution

The third proportional to 1,730.25 and 2,602.13 is: 3,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.25 : 2,602.13 = 2,602.13 : x
  2. Step 2: Convert to fraction form
    1,730.25/2,602.13 = 2,602.13/x
  3. Step 3: Cross multiply
    1,730.25x = 2,602.13 × 2,602.13
  4. Step 4: Simplify right side
    1,730.25x = 6,771,054.52
  5. Step 5: Solve for x
    x = 6,771,054.52/1,730.25
  6. Step 6: Final answer
    x = 3,913.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.