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Finding the Third Proportional to 15,052.71 and 22,536.35

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Solution

The third proportional to 15,052.71 and 22,536.35 is: 33,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.71 : 22,536.35 = 22,536.35 : x
  2. Step 2: Convert to fraction form
    15,052.71/22,536.35 = 22,536.35/x
  3. Step 3: Cross multiply
    15,052.71x = 22,536.35 × 22,536.35
  4. Step 4: Simplify right side
    15,052.71x = 507,887,141.75
  5. Step 5: Solve for x
    x = 507,887,141.75/15,052.71
  6. Step 6: Final answer
    x = 33,740.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.