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Finding the Third Proportional to 6,953.06 and 10,490.06

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Solution

The third proportional to 6,953.06 and 10,490.06 is: 15,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.06 : 10,490.06 = 10,490.06 : x
  2. Step 2: Convert to fraction form
    6,953.06/10,490.06 = 10,490.06/x
  3. Step 3: Cross multiply
    6,953.06x = 10,490.06 × 10,490.06
  4. Step 4: Simplify right side
    6,953.06x = 110,041,411.25
  5. Step 5: Solve for x
    x = 110,041,411.25/6,953.06
  6. Step 6: Final answer
    x = 15,826.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.