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Finding the Third Proportional to 58,023.84 and 78,283.97

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Solution

The third proportional to 58,023.84 and 78,283.97 is: 105,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,023.84 : 78,283.97 = 78,283.97 : x
  2. Step 2: Convert to fraction form
    58,023.84/78,283.97 = 78,283.97/x
  3. Step 3: Cross multiply
    58,023.84x = 78,283.97 × 78,283.97
  4. Step 4: Simplify right side
    58,023.84x = 6,128,379,763.25
  5. Step 5: Solve for x
    x = 6,128,379,763.25/58,023.84
  6. Step 6: Final answer
    x = 105,618.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.