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Finding the Third Proportional to 51,870.13 and 82,341.13

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Solution

The third proportional to 51,870.13 and 82,341.13 is: 130,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870.13 : 82,341.13 = 82,341.13 : x
  2. Step 2: Convert to fraction form
    51,870.13/82,341.13 = 82,341.13/x
  3. Step 3: Cross multiply
    51,870.13x = 82,341.13 × 82,341.13
  4. Step 4: Simplify right side
    51,870.13x = 6,780,060,866.27
  5. Step 5: Solve for x
    x = 6,780,060,866.27/51,870.13
  6. Step 6: Final answer
    x = 130,712.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.