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Finding the Third Proportional to 6,037.03 and 9,298.55

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Solution

The third proportional to 6,037.03 and 9,298.55 is: 14,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.03 : 9,298.55 = 9,298.55 : x
  2. Step 2: Convert to fraction form
    6,037.03/9,298.55 = 9,298.55/x
  3. Step 3: Cross multiply
    6,037.03x = 9,298.55 × 9,298.55
  4. Step 4: Simplify right side
    6,037.03x = 86,462,973.99
  5. Step 5: Solve for x
    x = 86,462,973.99/6,037.03
  6. Step 6: Final answer
    x = 14,322.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.