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Finding the Third Proportional to 21,926.95 and 35,312.84

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Solution

The third proportional to 21,926.95 and 35,312.84 is: 56,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.95 : 35,312.84 = 35,312.84 : x
  2. Step 2: Convert to fraction form
    21,926.95/35,312.84 = 35,312.84/x
  3. Step 3: Cross multiply
    21,926.95x = 35,312.84 × 35,312.84
  4. Step 4: Simplify right side
    21,926.95x = 1,246,996,381.95
  5. Step 5: Solve for x
    x = 1,246,996,381.95/21,926.95
  6. Step 6: Final answer
    x = 56,870.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.