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Finding the Third Proportional to 15,089.63 and 22,533.19

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Solution

The third proportional to 15,089.63 and 22,533.19 is: 33,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,089.63 : 22,533.19 = 22,533.19 : x
  2. Step 2: Convert to fraction form
    15,089.63/22,533.19 = 22,533.19/x
  3. Step 3: Cross multiply
    15,089.63x = 22,533.19 × 22,533.19
  4. Step 4: Simplify right side
    15,089.63x = 507,744,538.91
  5. Step 5: Solve for x
    x = 507,744,538.91/15,089.63
  6. Step 6: Final answer
    x = 33,648.59

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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.