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Finding the Third Proportional to 12,438.98 and 26,030.53

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Solution

The third proportional to 12,438.98 and 26,030.53 is: 54,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.98 : 26,030.53 = 26,030.53 : x
  2. Step 2: Convert to fraction form
    12,438.98/26,030.53 = 26,030.53/x
  3. Step 3: Cross multiply
    12,438.98x = 26,030.53 × 26,030.53
  4. Step 4: Simplify right side
    12,438.98x = 677,588,557.16
  5. Step 5: Solve for x
    x = 677,588,557.16/12,438.98
  6. Step 6: Final answer
    x = 54,472.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.