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Finding the Third Proportional to 24,220 and 49,776

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Solution

The third proportional to 24,220 and 49,776 is: 102,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,220 : 49,776 = 49,776 : x
  2. Step 2: Convert to fraction form
    24,220/49,776 = 49,776/x
  3. Step 3: Cross multiply
    24,220x = 49,776 × 49,776
  4. Step 4: Simplify right side
    24,220x = 2,477,650,176
  5. Step 5: Solve for x
    x = 2,477,650,176/24,220
  6. Step 6: Final answer
    x = 102,297.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.