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Finding the Third Proportional to 12,193.13 and 26,205.38

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Solution

The third proportional to 12,193.13 and 26,205.38 is: 56,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.13 : 26,205.38 = 26,205.38 : x
  2. Step 2: Convert to fraction form
    12,193.13/26,205.38 = 26,205.38/x
  3. Step 3: Cross multiply
    12,193.13x = 26,205.38 × 26,205.38
  4. Step 4: Simplify right side
    12,193.13x = 686,721,678.89
  5. Step 5: Solve for x
    x = 686,721,678.89/12,193.13
  6. Step 6: Final answer
    x = 56,320.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.