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Finding the Third Proportional to 30,585.75 and 62,032.50

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Solution

The third proportional to 30,585.75 and 62,032.50 is: 125,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.75 : 62,032.50 = 62,032.50 : x
  2. Step 2: Convert to fraction form
    30,585.75/62,032.50 = 62,032.50/x
  3. Step 3: Cross multiply
    30,585.75x = 62,032.50 × 62,032.50
  4. Step 4: Simplify right side
    30,585.75x = 3,848,031,056.25
  5. Step 5: Solve for x
    x = 3,848,031,056.25/30,585.75
  6. Step 6: Final answer
    x = 125,811.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.