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Finding the Third Proportional to 41,929.50 and 64,354.50

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Solution

The third proportional to 41,929.50 and 64,354.50 is: 98,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,929.50 : 64,354.50 = 64,354.50 : x
  2. Step 2: Convert to fraction form
    41,929.50/64,354.50 = 64,354.50/x
  3. Step 3: Cross multiply
    41,929.50x = 64,354.50 × 64,354.50
  4. Step 4: Simplify right side
    41,929.50x = 4,141,501,670.25
  5. Step 5: Solve for x
    x = 4,141,501,670.25/41,929.50
  6. Step 6: Final answer
    x = 98,772.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.