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Finding the Third Proportional to 973.69 and 1,695.94

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Solution

The third proportional to 973.69 and 1,695.94 is: 2,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.69 : 1,695.94 = 1,695.94 : x
  2. Step 2: Convert to fraction form
    973.69/1,695.94 = 1,695.94/x
  3. Step 3: Cross multiply
    973.69x = 1,695.94 × 1,695.94
  4. Step 4: Simplify right side
    973.69x = 2,876,204.00
  5. Step 5: Solve for x
    x = 2,876,204.00/973.69
  6. Step 6: Final answer
    x = 2,953.93

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.