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Finding the Third Proportional to 7,455.16 and 10,718.58

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Solution

The third proportional to 7,455.16 and 10,718.58 is: 15,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.16 : 10,718.58 = 10,718.58 : x
  2. Step 2: Convert to fraction form
    7,455.16/10,718.58 = 10,718.58/x
  3. Step 3: Cross multiply
    7,455.16x = 10,718.58 × 10,718.58
  4. Step 4: Simplify right side
    7,455.16x = 114,887,917.02
  5. Step 5: Solve for x
    x = 114,887,917.02/7,455.16
  6. Step 6: Final answer
    x = 15,410.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.