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Finding the Third Proportional to 15,351 and 22,931.63

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Solution

The third proportional to 15,351 and 22,931.63 is: 34,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,351 : 22,931.63 = 22,931.63 : x
  2. Step 2: Convert to fraction form
    15,351/22,931.63 = 22,931.63/x
  3. Step 3: Cross multiply
    15,351x = 22,931.63 × 22,931.63
  4. Step 4: Simplify right side
    15,351x = 525,859,425.14
  5. Step 5: Solve for x
    x = 525,859,425.14/15,351
  6. Step 6: Final answer
    x = 34,255.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.