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Finding the Third Proportional to 21,565.50 and 32,215.50

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Solution

The third proportional to 21,565.50 and 32,215.50 is: 48,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.50 : 32,215.50 = 32,215.50 : x
  2. Step 2: Convert to fraction form
    21,565.50/32,215.50 = 32,215.50/x
  3. Step 3: Cross multiply
    21,565.50x = 32,215.50 × 32,215.50
  4. Step 4: Simplify right side
    21,565.50x = 1,037,838,440.25
  5. Step 5: Solve for x
    x = 1,037,838,440.25/21,565.50
  6. Step 6: Final answer
    x = 48,124.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.