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Finding the Third Proportional to 10,595.18 and 16,415.16

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Solution

The third proportional to 10,595.18 and 16,415.16 is: 25,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.18 : 16,415.16 = 16,415.16 : x
  2. Step 2: Convert to fraction form
    10,595.18/16,415.16 = 16,415.16/x
  3. Step 3: Cross multiply
    10,595.18x = 16,415.16 × 16,415.16
  4. Step 4: Simplify right side
    10,595.18x = 269,457,354.71
  5. Step 5: Solve for x
    x = 269,457,354.71/10,595.18
  6. Step 6: Final answer
    x = 25,432.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.