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Finding the Third Proportional to 45,594 and 60,907.50

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Solution

The third proportional to 45,594 and 60,907.50 is: 81,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,594 : 60,907.50 = 60,907.50 : x
  2. Step 2: Convert to fraction form
    45,594/60,907.50 = 60,907.50/x
  3. Step 3: Cross multiply
    45,594x = 60,907.50 × 60,907.50
  4. Step 4: Simplify right side
    45,594x = 3,709,723,556.25
  5. Step 5: Solve for x
    x = 3,709,723,556.25/45,594
  6. Step 6: Final answer
    x = 81,364.29

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.