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Finding the Third Proportional to 58,852.13 and 75,563.81

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Solution

The third proportional to 58,852.13 and 75,563.81 is: 97,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,852.13 : 75,563.81 = 75,563.81 : x
  2. Step 2: Convert to fraction form
    58,852.13/75,563.81 = 75,563.81/x
  3. Step 3: Cross multiply
    58,852.13x = 75,563.81 × 75,563.81
  4. Step 4: Simplify right side
    58,852.13x = 5,709,889,759.54
  5. Step 5: Solve for x
    x = 5,709,889,759.54/58,852.13
  6. Step 6: Final answer
    x = 97,020.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.