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Finding the Third Proportional to 30,294.75 and 64,801.50

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Solution

The third proportional to 30,294.75 and 64,801.50 is: 138,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.75 : 64,801.50 = 64,801.50 : x
  2. Step 2: Convert to fraction form
    30,294.75/64,801.50 = 64,801.50/x
  3. Step 3: Cross multiply
    30,294.75x = 64,801.50 × 64,801.50
  4. Step 4: Simplify right side
    30,294.75x = 4,199,234,402.25
  5. Step 5: Solve for x
    x = 4,199,234,402.25/30,294.75
  6. Step 6: Final answer
    x = 138,612.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.