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Finding the Third Proportional to 12,303.56 and 26,862.47

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Solution

The third proportional to 12,303.56 and 26,862.47 is: 58,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.56 : 26,862.47 = 26,862.47 : x
  2. Step 2: Convert to fraction form
    12,303.56/26,862.47 = 26,862.47/x
  3. Step 3: Cross multiply
    12,303.56x = 26,862.47 × 26,862.47
  4. Step 4: Simplify right side
    12,303.56x = 721,592,227.34
  5. Step 5: Solve for x
    x = 721,592,227.34/12,303.56
  6. Step 6: Final answer
    x = 58,649.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.