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Finding the Third Proportional to 15,154 and 32,413

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Solution

The third proportional to 15,154 and 32,413 is: 69,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154 : 32,413 = 32,413 : x
  2. Step 2: Convert to fraction form
    15,154/32,413 = 32,413/x
  3. Step 3: Cross multiply
    15,154x = 32,413 × 32,413
  4. Step 4: Simplify right side
    15,154x = 1,050,602,569
  5. Step 5: Solve for x
    x = 1,050,602,569/15,154
  6. Step 6: Final answer
    x = 69,328.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.