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Finding the Third Proportional to 901.55 and 1,957.08

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Solution

The third proportional to 901.55 and 1,957.08 is: 4,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.55 : 1,957.08 = 1,957.08 : x
  2. Step 2: Convert to fraction form
    901.55/1,957.08 = 1,957.08/x
  3. Step 3: Cross multiply
    901.55x = 1,957.08 × 1,957.08
  4. Step 4: Simplify right side
    901.55x = 3,830,154.79
  5. Step 5: Solve for x
    x = 3,830,154.79/901.55
  6. Step 6: Final answer
    x = 4,248.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.