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Finding the Third Proportional to 15,053 and 22,903.50

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Solution

The third proportional to 15,053 and 22,903.50 is: 34,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053 : 22,903.50 = 22,903.50 : x
  2. Step 2: Convert to fraction form
    15,053/22,903.50 = 22,903.50/x
  3. Step 3: Cross multiply
    15,053x = 22,903.50 × 22,903.50
  4. Step 4: Simplify right side
    15,053x = 524,570,312.25
  5. Step 5: Solve for x
    x = 524,570,312.25/15,053
  6. Step 6: Final answer
    x = 34,848.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.