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Finding the Third Proportional to 30,496 and 45,232

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Solution

The third proportional to 30,496 and 45,232 is: 67,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496 : 45,232 = 45,232 : x
  2. Step 2: Convert to fraction form
    30,496/45,232 = 45,232/x
  3. Step 3: Cross multiply
    30,496x = 45,232 × 45,232
  4. Step 4: Simplify right side
    30,496x = 2,045,933,824
  5. Step 5: Solve for x
    x = 2,045,933,824/30,496
  6. Step 6: Final answer
    x = 67,088.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.