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Finding the Third Proportional to 30,259.50 and 64,675.50

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Solution

The third proportional to 30,259.50 and 64,675.50 is: 138,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.50 : 64,675.50 = 64,675.50 : x
  2. Step 2: Convert to fraction form
    30,259.50/64,675.50 = 64,675.50/x
  3. Step 3: Cross multiply
    30,259.50x = 64,675.50 × 64,675.50
  4. Step 4: Simplify right side
    30,259.50x = 4,182,920,300.25
  5. Step 5: Solve for x
    x = 4,182,920,300.25/30,259.50
  6. Step 6: Final answer
    x = 138,234.94

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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.