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Finding the Third Proportional to 1,973.06 and 4,253.72

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Solution

The third proportional to 1,973.06 and 4,253.72 is: 9,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.06 : 4,253.72 = 4,253.72 : x
  2. Step 2: Convert to fraction form
    1,973.06/4,253.72 = 4,253.72/x
  3. Step 3: Cross multiply
    1,973.06x = 4,253.72 × 4,253.72
  4. Step 4: Simplify right side
    1,973.06x = 18,094,123.20
  5. Step 5: Solve for x
    x = 18,094,123.20/1,973.06
  6. Step 6: Final answer
    x = 9,170.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.