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Finding the Third Proportional to 30,256.50 and 45,232.50

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Solution

The third proportional to 30,256.50 and 45,232.50 is: 67,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.50 : 45,232.50 = 45,232.50 : x
  2. Step 2: Convert to fraction form
    30,256.50/45,232.50 = 45,232.50/x
  3. Step 3: Cross multiply
    30,256.50x = 45,232.50 × 45,232.50
  4. Step 4: Simplify right side
    30,256.50x = 2,045,979,056.25
  5. Step 5: Solve for x
    x = 2,045,979,056.25/30,256.50
  6. Step 6: Final answer
    x = 67,621.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.