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Finding the Third Proportional to 1,977.50 and 4,352

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Solution

The third proportional to 1,977.50 and 4,352 is: 9,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.50 : 4,352 = 4,352 : x
  2. Step 2: Convert to fraction form
    1,977.50/4,352 = 4,352/x
  3. Step 3: Cross multiply
    1,977.50x = 4,352 × 4,352
  4. Step 4: Simplify right side
    1,977.50x = 18,939,904
  5. Step 5: Solve for x
    x = 18,939,904/1,977.50
  6. Step 6: Final answer
    x = 9,577.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.