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Finding the Third Proportional to 20,565 and 29,407.50

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Solution

The third proportional to 20,565 and 29,407.50 is: 42,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 29,407.50 = 29,407.50 : x
  2. Step 2: Convert to fraction form
    20,565/29,407.50 = 29,407.50/x
  3. Step 3: Cross multiply
    20,565x = 29,407.50 × 29,407.50
  4. Step 4: Simplify right side
    20,565x = 864,801,056.25
  5. Step 5: Solve for x
    x = 864,801,056.25/20,565
  6. Step 6: Final answer
    x = 42,052.08

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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.