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Finding the Third Proportional to 40,106.81 and 86,572.13

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Solution

The third proportional to 40,106.81 and 86,572.13 is: 186,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106.81 : 86,572.13 = 86,572.13 : x
  2. Step 2: Convert to fraction form
    40,106.81/86,572.13 = 86,572.13/x
  3. Step 3: Cross multiply
    40,106.81x = 86,572.13 × 86,572.13
  4. Step 4: Simplify right side
    40,106.81x = 7,494,732,827.02
  5. Step 5: Solve for x
    x = 7,494,732,827.02/40,106.81
  6. Step 6: Final answer
    x = 186,869.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.