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Finding the Third Proportional to 38,835 and 56,368.50

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Solution

The third proportional to 38,835 and 56,368.50 is: 81,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835 : 56,368.50 = 56,368.50 : x
  2. Step 2: Convert to fraction form
    38,835/56,368.50 = 56,368.50/x
  3. Step 3: Cross multiply
    38,835x = 56,368.50 × 56,368.50
  4. Step 4: Simplify right side
    38,835x = 3,177,407,792.25
  5. Step 5: Solve for x
    x = 3,177,407,792.25/38,835
  6. Step 6: Final answer
    x = 81,818.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.