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Finding the Third Proportional to 45,964.13 and 63,295.88

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Solution

The third proportional to 45,964.13 and 63,295.88 is: 87,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964.13 : 63,295.88 = 63,295.88 : x
  2. Step 2: Convert to fraction form
    45,964.13/63,295.88 = 63,295.88/x
  3. Step 3: Cross multiply
    45,964.13x = 63,295.88 × 63,295.88
  4. Step 4: Simplify right side
    45,964.13x = 4,006,367,792.02
  5. Step 5: Solve for x
    x = 4,006,367,792.02/45,964.13
  6. Step 6: Final answer
    x = 87,162.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.