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Finding the Third Proportional to 2,970.84 and 6,532.31

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Solution

The third proportional to 2,970.84 and 6,532.31 is: 14,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 6,532.31 = 6,532.31 : x
  2. Step 2: Convert to fraction form
    2,970.84/6,532.31 = 6,532.31/x
  3. Step 3: Cross multiply
    2,970.84x = 6,532.31 × 6,532.31
  4. Step 4: Simplify right side
    2,970.84x = 42,671,106.60
  5. Step 5: Solve for x
    x = 42,671,106.60/2,970.84
  6. Step 6: Final answer
    x = 14,363.30

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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.