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Finding the Third Proportional to 12,001.92 and 26,430.05

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Solution

The third proportional to 12,001.92 and 26,430.05 is: 58,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.92 : 26,430.05 = 26,430.05 : x
  2. Step 2: Convert to fraction form
    12,001.92/26,430.05 = 26,430.05/x
  3. Step 3: Cross multiply
    12,001.92x = 26,430.05 × 26,430.05
  4. Step 4: Simplify right side
    12,001.92x = 698,547,377.81
  5. Step 5: Solve for x
    x = 698,547,377.81/12,001.92
  6. Step 6: Final answer
    x = 58,202.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.