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Finding the Third Proportional to 24,813 and 37,445.63

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Solution

The third proportional to 24,813 and 37,445.63 is: 56,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813 : 37,445.63 = 37,445.63 : x
  2. Step 2: Convert to fraction form
    24,813/37,445.63 = 37,445.63/x
  3. Step 3: Cross multiply
    24,813x = 37,445.63 × 37,445.63
  4. Step 4: Simplify right side
    24,813x = 1,402,174,831.64
  5. Step 5: Solve for x
    x = 1,402,174,831.64/24,813
  6. Step 6: Final answer
    x = 56,509.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.