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Finding the Third Proportional to 30,252.75 and 48,048.50

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Solution

The third proportional to 30,252.75 and 48,048.50 is: 76,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.75 : 48,048.50 = 48,048.50 : x
  2. Step 2: Convert to fraction form
    30,252.75/48,048.50 = 48,048.50/x
  3. Step 3: Cross multiply
    30,252.75x = 48,048.50 × 48,048.50
  4. Step 4: Simplify right side
    30,252.75x = 2,308,658,352.25
  5. Step 5: Solve for x
    x = 2,308,658,352.25/30,252.75
  6. Step 6: Final answer
    x = 76,312.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.