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Finding the Third Proportional to 15,358 and 24,065

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Solution

The third proportional to 15,358 and 24,065 is: 37,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,358 : 24,065 = 24,065 : x
  2. Step 2: Convert to fraction form
    15,358/24,065 = 24,065/x
  3. Step 3: Cross multiply
    15,358x = 24,065 × 24,065
  4. Step 4: Simplify right side
    15,358x = 579,124,225
  5. Step 5: Solve for x
    x = 579,124,225/15,358
  6. Step 6: Final answer
    x = 37,708.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.