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Finding the Third Proportional to 46,595.25 and 97,753.50

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Solution

The third proportional to 46,595.25 and 97,753.50 is: 205,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,595.25 : 97,753.50 = 97,753.50 : x
  2. Step 2: Convert to fraction form
    46,595.25/97,753.50 = 97,753.50/x
  3. Step 3: Cross multiply
    46,595.25x = 97,753.50 × 97,753.50
  4. Step 4: Simplify right side
    46,595.25x = 9,555,746,762.25
  5. Step 5: Solve for x
    x = 9,555,746,762.25/46,595.25
  6. Step 6: Final answer
    x = 205,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.