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Finding the Third Proportional to 15,595.50 and 31,920

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Solution

The third proportional to 15,595.50 and 31,920 is: 65,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,595.50 : 31,920 = 31,920 : x
  2. Step 2: Convert to fraction form
    15,595.50/31,920 = 31,920/x
  3. Step 3: Cross multiply
    15,595.50x = 31,920 × 31,920
  4. Step 4: Simplify right side
    15,595.50x = 1,018,886,400
  5. Step 5: Solve for x
    x = 1,018,886,400/15,595.50
  6. Step 6: Final answer
    x = 65,332.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.