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Finding the Third Proportional to 10,088.44 and 20,587.50

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Solution

The third proportional to 10,088.44 and 20,587.50 is: 42,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.44 : 20,587.50 = 20,587.50 : x
  2. Step 2: Convert to fraction form
    10,088.44/20,587.50 = 20,587.50/x
  3. Step 3: Cross multiply
    10,088.44x = 20,587.50 × 20,587.50
  4. Step 4: Simplify right side
    10,088.44x = 423,845,156.25
  5. Step 5: Solve for x
    x = 423,845,156.25/10,088.44
  6. Step 6: Final answer
    x = 42,012.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.