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Finding the Third Proportional to 48,364.13 and 64,503

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Solution

The third proportional to 48,364.13 and 64,503 is: 86,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.13 : 64,503 = 64,503 : x
  2. Step 2: Convert to fraction form
    48,364.13/64,503 = 64,503/x
  3. Step 3: Cross multiply
    48,364.13x = 64,503 × 64,503
  4. Step 4: Simplify right side
    48,364.13x = 4,160,637,009
  5. Step 5: Solve for x
    x = 4,160,637,009/48,364.13
  6. Step 6: Final answer
    x = 86,027.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.