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Finding the Third Proportional to 15,113 and 22,208.50

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Solution

The third proportional to 15,113 and 22,208.50 is: 32,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113 : 22,208.50 = 22,208.50 : x
  2. Step 2: Convert to fraction form
    15,113/22,208.50 = 22,208.50/x
  3. Step 3: Cross multiply
    15,113x = 22,208.50 × 22,208.50
  4. Step 4: Simplify right side
    15,113x = 493,217,472.25
  5. Step 5: Solve for x
    x = 493,217,472.25/15,113
  6. Step 6: Final answer
    x = 32,635.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.