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Finding the Third Proportional to 15,352 and 23,464

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Solution

The third proportional to 15,352 and 23,464 is: 35,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352 : 23,464 = 23,464 : x
  2. Step 2: Convert to fraction form
    15,352/23,464 = 23,464/x
  3. Step 3: Cross multiply
    15,352x = 23,464 × 23,464
  4. Step 4: Simplify right side
    15,352x = 550,559,296
  5. Step 5: Solve for x
    x = 550,559,296/15,352
  6. Step 6: Final answer
    x = 35,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.