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Finding the Third Proportional to 9,976.29 and 15,037.52

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Solution

The third proportional to 9,976.29 and 15,037.52 is: 22,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.29 : 15,037.52 = 15,037.52 : x
  2. Step 2: Convert to fraction form
    9,976.29/15,037.52 = 15,037.52/x
  3. Step 3: Cross multiply
    9,976.29x = 15,037.52 × 15,037.52
  4. Step 4: Simplify right side
    9,976.29x = 226,127,111.13
  5. Step 5: Solve for x
    x = 226,127,111.13/9,976.29
  6. Step 6: Final answer
    x = 22,666.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.