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Finding the Third Proportional to 14,789 and 32,413

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Solution

The third proportional to 14,789 and 32,413 is: 71,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789 : 32,413 = 32,413 : x
  2. Step 2: Convert to fraction form
    14,789/32,413 = 32,413/x
  3. Step 3: Cross multiply
    14,789x = 32,413 × 32,413
  4. Step 4: Simplify right side
    14,789x = 1,050,602,569
  5. Step 5: Solve for x
    x = 1,050,602,569/14,789
  6. Step 6: Final answer
    x = 71,039.46

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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.