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Finding the Third Proportional to 19,113 and 29,521.50

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Solution

The third proportional to 19,113 and 29,521.50 is: 45,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113 : 29,521.50 = 29,521.50 : x
  2. Step 2: Convert to fraction form
    19,113/29,521.50 = 29,521.50/x
  3. Step 3: Cross multiply
    19,113x = 29,521.50 × 29,521.50
  4. Step 4: Simplify right side
    19,113x = 871,518,962.25
  5. Step 5: Solve for x
    x = 871,518,962.25/19,113
  6. Step 6: Final answer
    x = 45,598.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.