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Finding the Third Proportional to 28,750 and 61,712

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Solution

The third proportional to 28,750 and 61,712 is: 132,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,750 : 61,712 = 61,712 : x
  2. Step 2: Convert to fraction form
    28,750/61,712 = 61,712/x
  3. Step 3: Cross multiply
    28,750x = 61,712 × 61,712
  4. Step 4: Simplify right side
    28,750x = 3,808,370,944
  5. Step 5: Solve for x
    x = 3,808,370,944/28,750
  6. Step 6: Final answer
    x = 132,465.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.