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Finding the Third Proportional to 29,386 and 43,948

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Solution

The third proportional to 29,386 and 43,948 is: 65,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,386 : 43,948 = 43,948 : x
  2. Step 2: Convert to fraction form
    29,386/43,948 = 43,948/x
  3. Step 3: Cross multiply
    29,386x = 43,948 × 43,948
  4. Step 4: Simplify right side
    29,386x = 1,931,426,704
  5. Step 5: Solve for x
    x = 1,931,426,704/29,386
  6. Step 6: Final answer
    x = 65,726.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.