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Finding the Third Proportional to 973.13 and 2,264.06

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Solution

The third proportional to 973.13 and 2,264.06 is: 5,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.13 : 2,264.06 = 2,264.06 : x
  2. Step 2: Convert to fraction form
    973.13/2,264.06 = 2,264.06/x
  3. Step 3: Cross multiply
    973.13x = 2,264.06 × 2,264.06
  4. Step 4: Simplify right side
    973.13x = 5,125,979.00
  5. Step 5: Solve for x
    x = 5,125,979.00/973.13
  6. Step 6: Final answer
    x = 5,267.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.