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Finding the Third Proportional to 13,570.45 and 29,901.66

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Solution

The third proportional to 13,570.45 and 29,901.66 is: 65,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.45 : 29,901.66 = 29,901.66 : x
  2. Step 2: Convert to fraction form
    13,570.45/29,901.66 = 29,901.66/x
  3. Step 3: Cross multiply
    13,570.45x = 29,901.66 × 29,901.66
  4. Step 4: Simplify right side
    13,570.45x = 894,109,046.49
  5. Step 5: Solve for x
    x = 894,109,046.49/13,570.45
  6. Step 6: Final answer
    x = 65,886.45

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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.