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Finding the Third Proportional to 58,081.50 and 75,955.50

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Solution

The third proportional to 58,081.50 and 75,955.50 is: 99,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,081.50 : 75,955.50 = 75,955.50 : x
  2. Step 2: Convert to fraction form
    58,081.50/75,955.50 = 75,955.50/x
  3. Step 3: Cross multiply
    58,081.50x = 75,955.50 × 75,955.50
  4. Step 4: Simplify right side
    58,081.50x = 5,769,237,980.25
  5. Step 5: Solve for x
    x = 5,769,237,980.25/58,081.50
  6. Step 6: Final answer
    x = 99,330.04

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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.