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Finding the Third Proportional to 28,482 and 45,499

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Solution

The third proportional to 28,482 and 45,499 is: 72,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,482 : 45,499 = 45,499 : x
  2. Step 2: Convert to fraction form
    28,482/45,499 = 45,499/x
  3. Step 3: Cross multiply
    28,482x = 45,499 × 45,499
  4. Step 4: Simplify right side
    28,482x = 2,070,159,001
  5. Step 5: Solve for x
    x = 2,070,159,001/28,482
  6. Step 6: Final answer
    x = 72,683.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.