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Finding the Third Proportional to 31,135.64 and 64,486.76

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Solution

The third proportional to 31,135.64 and 64,486.76 is: 133,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.64 : 64,486.76 = 64,486.76 : x
  2. Step 2: Convert to fraction form
    31,135.64/64,486.76 = 64,486.76/x
  3. Step 3: Cross multiply
    31,135.64x = 64,486.76 × 64,486.76
  4. Step 4: Simplify right side
    31,135.64x = 4,158,541,933.17
  5. Step 5: Solve for x
    x = 4,158,541,933.17/31,135.64
  6. Step 6: Final answer
    x = 133,562.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.