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Finding the Third Proportional to 58,252.50 and 79,582.50

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Solution

The third proportional to 58,252.50 and 79,582.50 is: 108,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,252.50 : 79,582.50 = 79,582.50 : x
  2. Step 2: Convert to fraction form
    58,252.50/79,582.50 = 79,582.50/x
  3. Step 3: Cross multiply
    58,252.50x = 79,582.50 × 79,582.50
  4. Step 4: Simplify right side
    58,252.50x = 6,333,374,306.25
  5. Step 5: Solve for x
    x = 6,333,374,306.25/58,252.50
  6. Step 6: Final answer
    x = 108,722.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.