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Finding the Third Proportional to 47,683.69 and 70,064.16

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Solution

The third proportional to 47,683.69 and 70,064.16 is: 102,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683.69 : 70,064.16 = 70,064.16 : x
  2. Step 2: Convert to fraction form
    47,683.69/70,064.16 = 70,064.16/x
  3. Step 3: Cross multiply
    47,683.69x = 70,064.16 × 70,064.16
  4. Step 4: Simplify right side
    47,683.69x = 4,908,985,991.02
  5. Step 5: Solve for x
    x = 4,908,985,991.02/47,683.69
  6. Step 6: Final answer
    x = 102,948.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.