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Finding the Third Proportional to 19,761 and 42,802.50

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Solution

The third proportional to 19,761 and 42,802.50 is: 92,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 42,802.50 = 42,802.50 : x
  2. Step 2: Convert to fraction form
    19,761/42,802.50 = 42,802.50/x
  3. Step 3: Cross multiply
    19,761x = 42,802.50 × 42,802.50
  4. Step 4: Simplify right side
    19,761x = 1,832,054,006.25
  5. Step 5: Solve for x
    x = 1,832,054,006.25/19,761
  6. Step 6: Final answer
    x = 92,710.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.