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Finding the Third Proportional to 8,298.07 and 14,904.63

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Solution

The third proportional to 8,298.07 and 14,904.63 is: 26,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.07 : 14,904.63 = 14,904.63 : x
  2. Step 2: Convert to fraction form
    8,298.07/14,904.63 = 14,904.63/x
  3. Step 3: Cross multiply
    8,298.07x = 14,904.63 × 14,904.63
  4. Step 4: Simplify right side
    8,298.07x = 222,148,079.28
  5. Step 5: Solve for x
    x = 222,148,079.28/8,298.07
  6. Step 6: Final answer
    x = 26,771.05

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.