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Finding the Third Proportional to 10,038.94 and 15,908.91

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Solution

The third proportional to 10,038.94 and 15,908.91 is: 25,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.94 : 15,908.91 = 15,908.91 : x
  2. Step 2: Convert to fraction form
    10,038.94/15,908.91 = 15,908.91/x
  3. Step 3: Cross multiply
    10,038.94x = 15,908.91 × 15,908.91
  4. Step 4: Simplify right side
    10,038.94x = 253,093,298.07
  5. Step 5: Solve for x
    x = 253,093,298.07/10,038.94
  6. Step 6: Final answer
    x = 25,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.