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Finding the Third Proportional to 6,746.81 and 9,860.72

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Solution

The third proportional to 6,746.81 and 9,860.72 is: 14,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.81 : 9,860.72 = 9,860.72 : x
  2. Step 2: Convert to fraction form
    6,746.81/9,860.72 = 9,860.72/x
  3. Step 3: Cross multiply
    6,746.81x = 9,860.72 × 9,860.72
  4. Step 4: Simplify right side
    6,746.81x = 97,233,832.04
  5. Step 5: Solve for x
    x = 97,233,832.04/6,746.81
  6. Step 6: Final answer
    x = 14,411.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.