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Finding the Third Proportional to 14,813.50 and 35,417

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Solution

The third proportional to 14,813.50 and 35,417 is: 84,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.50 : 35,417 = 35,417 : x
  2. Step 2: Convert to fraction form
    14,813.50/35,417 = 35,417/x
  3. Step 3: Cross multiply
    14,813.50x = 35,417 × 35,417
  4. Step 4: Simplify right side
    14,813.50x = 1,254,363,889
  5. Step 5: Solve for x
    x = 1,254,363,889/14,813.50
  6. Step 6: Final answer
    x = 84,677.08

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.