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Finding the Third Proportional to 6,548.06 and 10,368.84

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Solution

The third proportional to 6,548.06 and 10,368.84 is: 16,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.06 : 10,368.84 = 10,368.84 : x
  2. Step 2: Convert to fraction form
    6,548.06/10,368.84 = 10,368.84/x
  3. Step 3: Cross multiply
    6,548.06x = 10,368.84 × 10,368.84
  4. Step 4: Simplify right side
    6,548.06x = 107,512,920.71
  5. Step 5: Solve for x
    x = 107,512,920.71/6,548.06
  6. Step 6: Final answer
    x = 16,419.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.