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Finding the Third Proportional to 10,368 and 24,348.09

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Solution

The third proportional to 10,368 and 24,348.09 is: 57,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368 : 24,348.09 = 24,348.09 : x
  2. Step 2: Convert to fraction form
    10,368/24,348.09 = 24,348.09/x
  3. Step 3: Cross multiply
    10,368x = 24,348.09 × 24,348.09
  4. Step 4: Simplify right side
    10,368x = 592,829,669.26
  5. Step 5: Solve for x
    x = 592,829,669.26/10,368
  6. Step 6: Final answer
    x = 57,178.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.