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Finding the Third Proportional to 964.50 and 1,405.13

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Solution

The third proportional to 964.50 and 1,405.13 is: 2,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.50 : 1,405.13 = 1,405.13 : x
  2. Step 2: Convert to fraction form
    964.50/1,405.13 = 1,405.13/x
  3. Step 3: Cross multiply
    964.50x = 1,405.13 × 1,405.13
  4. Step 4: Simplify right side
    964.50x = 1,974,376.27
  5. Step 5: Solve for x
    x = 1,974,376.27/964.50
  6. Step 6: Final answer
    x = 2,047.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.