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Finding the Third Proportional to 48,596 and 63,810

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Solution

The third proportional to 48,596 and 63,810 is: 83,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596 : 63,810 = 63,810 : x
  2. Step 2: Convert to fraction form
    48,596/63,810 = 63,810/x
  3. Step 3: Cross multiply
    48,596x = 63,810 × 63,810
  4. Step 4: Simplify right side
    48,596x = 4,071,716,100
  5. Step 5: Solve for x
    x = 4,071,716,100/48,596
  6. Step 6: Final answer
    x = 83,787.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.