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Finding the Third Proportional to 15,767.16 and 24,106.36

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Solution

The third proportional to 15,767.16 and 24,106.36 is: 36,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.16 : 24,106.36 = 24,106.36 : x
  2. Step 2: Convert to fraction form
    15,767.16/24,106.36 = 24,106.36/x
  3. Step 3: Cross multiply
    15,767.16x = 24,106.36 × 24,106.36
  4. Step 4: Simplify right side
    15,767.16x = 581,116,562.32
  5. Step 5: Solve for x
    x = 581,116,562.32/15,767.16
  6. Step 6: Final answer
    x = 36,856.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.