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Finding the Third Proportional to 15,417 and 22,030.50

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Solution

The third proportional to 15,417 and 22,030.50 is: 31,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 22,030.50 = 22,030.50 : x
  2. Step 2: Convert to fraction form
    15,417/22,030.50 = 22,030.50/x
  3. Step 3: Cross multiply
    15,417x = 22,030.50 × 22,030.50
  4. Step 4: Simplify right side
    15,417x = 485,342,930.25
  5. Step 5: Solve for x
    x = 485,342,930.25/15,417
  6. Step 6: Final answer
    x = 31,481.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.