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Finding the Third Proportional to 30,417.75 and 40,687.50

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Solution

The third proportional to 30,417.75 and 40,687.50 is: 54,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.75 : 40,687.50 = 40,687.50 : x
  2. Step 2: Convert to fraction form
    30,417.75/40,687.50 = 40,687.50/x
  3. Step 3: Cross multiply
    30,417.75x = 40,687.50 × 40,687.50
  4. Step 4: Simplify right side
    30,417.75x = 1,655,472,656.25
  5. Step 5: Solve for x
    x = 1,655,472,656.25/30,417.75
  6. Step 6: Final answer
    x = 54,424.56

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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.