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Finding the Third Proportional to 19,948.78 and 29,000.53

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Solution

The third proportional to 19,948.78 and 29,000.53 is: 42,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.78 : 29,000.53 = 29,000.53 : x
  2. Step 2: Convert to fraction form
    19,948.78/29,000.53 = 29,000.53/x
  3. Step 3: Cross multiply
    19,948.78x = 29,000.53 × 29,000.53
  4. Step 4: Simplify right side
    19,948.78x = 841,030,812.78
  5. Step 5: Solve for x
    x = 841,030,812.78/19,948.78
  6. Step 6: Final answer
    x = 42,159.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.