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Finding the Third Proportional to 967.49 and 2,088.76

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Solution

The third proportional to 967.49 and 2,088.76 is: 4,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.49 : 2,088.76 = 2,088.76 : x
  2. Step 2: Convert to fraction form
    967.49/2,088.76 = 2,088.76/x
  3. Step 3: Cross multiply
    967.49x = 2,088.76 × 2,088.76
  4. Step 4: Simplify right side
    967.49x = 4,362,901.04
  5. Step 5: Solve for x
    x = 4,362,901.04/967.49
  6. Step 6: Final answer
    x = 4,509.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.