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Finding the Third Proportional to 973.90 and 2,037.50

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Solution

The third proportional to 973.90 and 2,037.50 is: 4,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 2,037.50 = 2,037.50 : x
  2. Step 2: Convert to fraction form
    973.90/2,037.50 = 2,037.50/x
  3. Step 3: Cross multiply
    973.90x = 2,037.50 × 2,037.50
  4. Step 4: Simplify right side
    973.90x = 4,151,398.29
  5. Step 5: Solve for x
    x = 4,151,398.29/973.90
  6. Step 6: Final answer
    x = 4,262.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.