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Finding the Third Proportional to 28,547 and 60,171.50

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Solution

The third proportional to 28,547 and 60,171.50 is: 126,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547 : 60,171.50 = 60,171.50 : x
  2. Step 2: Convert to fraction form
    28,547/60,171.50 = 60,171.50/x
  3. Step 3: Cross multiply
    28,547x = 60,171.50 × 60,171.50
  4. Step 4: Simplify right side
    28,547x = 3,620,609,412.25
  5. Step 5: Solve for x
    x = 3,620,609,412.25/28,547
  6. Step 6: Final answer
    x = 126,829.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.