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Finding the Third Proportional to 52,985.25 and 79,479

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Solution

The third proportional to 52,985.25 and 79,479 is: 119,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,985.25 : 79,479 = 79,479 : x
  2. Step 2: Convert to fraction form
    52,985.25/79,479 = 79,479/x
  3. Step 3: Cross multiply
    52,985.25x = 79,479 × 79,479
  4. Step 4: Simplify right side
    52,985.25x = 6,316,911,441
  5. Step 5: Solve for x
    x = 6,316,911,441/52,985.25
  6. Step 6: Final answer
    x = 119,220.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.