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Finding the Third Proportional to 895.35 and 1,972.95

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Solution

The third proportional to 895.35 and 1,972.95 is: 4,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,972.95 = 1,972.95 : x
  2. Step 2: Convert to fraction form
    895.35/1,972.95 = 1,972.95/x
  3. Step 3: Cross multiply
    895.35x = 1,972.95 × 1,972.95
  4. Step 4: Simplify right side
    895.35x = 3,892,536.33
  5. Step 5: Solve for x
    x = 3,892,536.33/895.35
  6. Step 6: Final answer
    x = 4,347.50

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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.