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Finding the Third Proportional to 15,153 and 32,412

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Solution

The third proportional to 15,153 and 32,412 is: 69,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153 : 32,412 = 32,412 : x
  2. Step 2: Convert to fraction form
    15,153/32,412 = 32,412/x
  3. Step 3: Cross multiply
    15,153x = 32,412 × 32,412
  4. Step 4: Simplify right side
    15,153x = 1,050,537,744
  5. Step 5: Solve for x
    x = 1,050,537,744/15,153
  6. Step 6: Final answer
    x = 69,328.70

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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.