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Finding the Third Proportional to 4,746.50 and 10,417

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Solution

The third proportional to 4,746.50 and 10,417 is: 22,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.50 : 10,417 = 10,417 : x
  2. Step 2: Convert to fraction form
    4,746.50/10,417 = 10,417/x
  3. Step 3: Cross multiply
    4,746.50x = 10,417 × 10,417
  4. Step 4: Simplify right side
    4,746.50x = 108,513,889
  5. Step 5: Solve for x
    x = 108,513,889/4,746.50
  6. Step 6: Final answer
    x = 22,861.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.