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Finding the Third Proportional to 12,666.38 and 26,221.22

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Solution

The third proportional to 12,666.38 and 26,221.22 is: 54,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.38 : 26,221.22 = 26,221.22 : x
  2. Step 2: Convert to fraction form
    12,666.38/26,221.22 = 26,221.22/x
  3. Step 3: Cross multiply
    12,666.38x = 26,221.22 × 26,221.22
  4. Step 4: Simplify right side
    12,666.38x = 687,552,312.74
  5. Step 5: Solve for x
    x = 687,552,312.74/12,666.38
  6. Step 6: Final answer
    x = 54,281.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.