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Finding the Third Proportional to 7,475.06 and 10,156.22

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Solution

The third proportional to 7,475.06 and 10,156.22 is: 13,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.06 : 10,156.22 = 10,156.22 : x
  2. Step 2: Convert to fraction form
    7,475.06/10,156.22 = 10,156.22/x
  3. Step 3: Cross multiply
    7,475.06x = 10,156.22 × 10,156.22
  4. Step 4: Simplify right side
    7,475.06x = 103,148,779.30
  5. Step 5: Solve for x
    x = 103,148,779.30/7,475.06
  6. Step 6: Final answer
    x = 13,799.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.