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Finding the Third Proportional to 6,259.36 and 9,748.05

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Solution

The third proportional to 6,259.36 and 9,748.05 is: 15,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.36 : 9,748.05 = 9,748.05 : x
  2. Step 2: Convert to fraction form
    6,259.36/9,748.05 = 9,748.05/x
  3. Step 3: Cross multiply
    6,259.36x = 9,748.05 × 9,748.05
  4. Step 4: Simplify right side
    6,259.36x = 95,024,570.19
  5. Step 5: Solve for x
    x = 95,024,570.19/6,259.36
  6. Step 6: Final answer
    x = 15,181.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.