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Finding the Third Proportional to 7,117.88 and 15,152.06

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Solution

The third proportional to 7,117.88 and 15,152.06 is: 32,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.88 : 15,152.06 = 15,152.06 : x
  2. Step 2: Convert to fraction form
    7,117.88/15,152.06 = 15,152.06/x
  3. Step 3: Cross multiply
    7,117.88x = 15,152.06 × 15,152.06
  4. Step 4: Simplify right side
    7,117.88x = 229,584,998.00
  5. Step 5: Solve for x
    x = 229,584,998.00/7,117.88
  6. Step 6: Final answer
    x = 32,254.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.