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Finding the Third Proportional to 30,155.50 and 64,318.63

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Solution

The third proportional to 30,155.50 and 64,318.63 is: 137,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,155.50 : 64,318.63 = 64,318.63 : x
  2. Step 2: Convert to fraction form
    30,155.50/64,318.63 = 64,318.63/x
  3. Step 3: Cross multiply
    30,155.50x = 64,318.63 × 64,318.63
  4. Step 4: Simplify right side
    30,155.50x = 4,136,885,521.89
  5. Step 5: Solve for x
    x = 4,136,885,521.89/30,155.50
  6. Step 6: Final answer
    x = 137,185.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.