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Finding the Third Proportional to 46,878.75 and 70,323.19

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Solution

The third proportional to 46,878.75 and 70,323.19 is: 105,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,878.75 : 70,323.19 = 70,323.19 : x
  2. Step 2: Convert to fraction form
    46,878.75/70,323.19 = 70,323.19/x
  3. Step 3: Cross multiply
    46,878.75x = 70,323.19 × 70,323.19
  4. Step 4: Simplify right side
    46,878.75x = 4,945,350,700.16
  5. Step 5: Solve for x
    x = 4,945,350,700.16/46,878.75
  6. Step 6: Final answer
    x = 105,492.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.