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Finding the Third Proportional to 47,445.75 and 70,804.13

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Solution

The third proportional to 47,445.75 and 70,804.13 is: 105,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,445.75 : 70,804.13 = 70,804.13 : x
  2. Step 2: Convert to fraction form
    47,445.75/70,804.13 = 70,804.13/x
  3. Step 3: Cross multiply
    47,445.75x = 70,804.13 × 70,804.13
  4. Step 4: Simplify right side
    47,445.75x = 5,013,224,117.02
  5. Step 5: Solve for x
    x = 5,013,224,117.02/47,445.75
  6. Step 6: Final answer
    x = 105,662.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.