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Finding the Third Proportional to 48,827.50 and 106,604

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Solution

The third proportional to 48,827.50 and 106,604 is: 232,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827.50 : 106,604 = 106,604 : x
  2. Step 2: Convert to fraction form
    48,827.50/106,604 = 106,604/x
  3. Step 3: Cross multiply
    48,827.50x = 106,604 × 106,604
  4. Step 4: Simplify right side
    48,827.50x = 11,364,412,816
  5. Step 5: Solve for x
    x = 11,364,412,816/48,827.50
  6. Step 6: Final answer
    x = 232,746.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.