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Finding the Third Proportional to 46,966.50 and 97,038

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Solution

The third proportional to 46,966.50 and 97,038 is: 200,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966.50 : 97,038 = 97,038 : x
  2. Step 2: Convert to fraction form
    46,966.50/97,038 = 97,038/x
  3. Step 3: Cross multiply
    46,966.50x = 97,038 × 97,038
  4. Step 4: Simplify right side
    46,966.50x = 9,416,373,444
  5. Step 5: Solve for x
    x = 9,416,373,444/46,966.50
  6. Step 6: Final answer
    x = 200,491.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.