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Finding the Third Proportional to 16,609 and 38,810.50

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Solution

The third proportional to 16,609 and 38,810.50 is: 90,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609 : 38,810.50 = 38,810.50 : x
  2. Step 2: Convert to fraction form
    16,609/38,810.50 = 38,810.50/x
  3. Step 3: Cross multiply
    16,609x = 38,810.50 × 38,810.50
  4. Step 4: Simplify right side
    16,609x = 1,506,254,910.25
  5. Step 5: Solve for x
    x = 1,506,254,910.25/16,609
  6. Step 6: Final answer
    x = 90,689.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.