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Finding the Third Proportional to 10,417.36 and 16,925.20

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Solution

The third proportional to 10,417.36 and 16,925.20 is: 27,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.36 : 16,925.20 = 16,925.20 : x
  2. Step 2: Convert to fraction form
    10,417.36/16,925.20 = 16,925.20/x
  3. Step 3: Cross multiply
    10,417.36x = 16,925.20 × 16,925.20
  4. Step 4: Simplify right side
    10,417.36x = 286,462,500.82
  5. Step 5: Solve for x
    x = 286,462,500.82/10,417.36
  6. Step 6: Final answer
    x = 27,498.57

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.