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Finding the Third Proportional to 15,748 and 24,312

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Solution

The third proportional to 15,748 and 24,312 is: 37,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748 : 24,312 = 24,312 : x
  2. Step 2: Convert to fraction form
    15,748/24,312 = 24,312/x
  3. Step 3: Cross multiply
    15,748x = 24,312 × 24,312
  4. Step 4: Simplify right side
    15,748x = 591,073,344
  5. Step 5: Solve for x
    x = 591,073,344/15,748
  6. Step 6: Final answer
    x = 37,533.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.