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Finding the Third Proportional to 1,970.58 and 4,248.70

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Solution

The third proportional to 1,970.58 and 4,248.70 is: 9,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.58 : 4,248.70 = 4,248.70 : x
  2. Step 2: Convert to fraction form
    1,970.58/4,248.70 = 4,248.70/x
  3. Step 3: Cross multiply
    1,970.58x = 4,248.70 × 4,248.70
  4. Step 4: Simplify right side
    1,970.58x = 18,051,478.24
  5. Step 5: Solve for x
    x = 18,051,478.24/1,970.58
  6. Step 6: Final answer
    x = 9,160.50

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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.